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8.4 Systems of Linear Inequalities

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8.4 Systems of Linear Inequalities

8.4 Systems of Linear Inequalities 8.4 OBJECTIVES 1. ... producing a total of 25 sets per week. ... Describe a system of linear inequalities for which there is no solution. x y y x © 2001 McGraw-Hill Companies ANSWERS 23. 24. 679 23.

http://www.mhhe.com/math/devmath/streeter/ba/graphics/streeter5ba/ch08/others/stre_8.4.pdf

Date added: November 5, 2012 - Views: 14

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1. How do you write a system of linear equations in two ...

How many solution sets do systems of linear inequalities have? Must solutions to systems of linear inequalities satisfy both inequalities? In what case might they

http://www.mymathgenius.com/file/121-DQ%20Week1.pdf

Date added: October 15, 2012 - Views: 2

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5.2. Systems of linear equations and their solution - Tutor ...

5.2.1. EXAMPLE (Independent System). Let us consider the following linear system x + y = 5 2x − y = 4. The solution sets of each of the equations in the system is a line.

http://www.tutor-homework.com/Math_Help/college_algebra/m5l2notes.pdf

Date added: November 23, 2011 - Views: 22

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CHAPTER 2 – Systems of Equations and Inequalities SECTION 5 ...

Identify the overlap of all of the solution sets. This is the ... This will not always be the case. In fact, the solution sets for systems of inequalities will often extend forever in a particular direction. This leads us to an important idea about ...

http://euclid.colorado.edu/~jomi2505/2.5.pdf

Date added: September 12, 2012 - Views: 13

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3.1GraphingSystemsofLinearInequalities - Texas A&M University

An inequality does not have just one solution. There will be many points (x,y) ... are the solution sets bounded or unbounded? Examples: Graph these systems of inequalities and find the coordinates of any corner points of the solution set. • x+y≥−2

http://www.math.tamu.edu/~baurispa/math141/141ch3_1-3.pdf

Date added: March 27, 2013 - Views: 2

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On Solution Sets of Information Inequalities

On Solution Sets of Information Inequalities Nihat Ay1;2 & Walter Wenzel1;3 ... on the characterization of solution sets that do not hold in general for ... These results can be compared with the general results on solution sets of linear inequality systems given in Section 2 (see Example 2.18 ...

http://www.santafe.edu/media/workingpapers/11-11-054.pdf

Date added: May 11, 2013 - Views: 2

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L7.Solving Systems of Linear Inequalities

... Graph the system of inequalities and label its solution set S. (b) Determine whether or not each of the following points lies in ... Solving Systems of Linear Inequalities Algebra 1 Homework Skills 1.

http://www.teacherweb.com/NY/Arlington/AlgebraProject/U4L7SolvingSystemsofLinearInequalities.pdf

Date added: January 30, 2012 - Views: 22

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CHAPTER Systems of Equations 5 and Inequalities

Systems of Equations and Inequalities CHAPTER 5 Continue to think about your interactions with your student regarding ... the boundary line, represents the solution. Systems of Linear Inequalities The mathematical methods called linear programming apply to many

http://math.kendallhunt.com/documents/da2-ca/DA2CA_AGFP/DA2CA_AGFP_957_05.pdf

Date added: May 31, 2012 - Views: 39

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5.4 Systems of Linear Inequalities - Mona Shores Public Schools

Goal •Solve simple systems of linear inequalities The previous work in this investigation and in Investigation 4 sets students up to be able to think

http://blogs.monashores.net/bettenm/files/2009/02/54.pdf

Date added: September 3, 2013 - Views: 1

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Graphing SYSTEMS of Inequalities - BowNET

Graphing Systems of Inequalities Graph each of the following sets of inequalities to find the feasible region (this is the part where your shading ... Graph solution: ...

http://www.bownet.org/jchaffee/Algebra%202%20Doc/Linear%20Programming/Graphing%20SYSTEMS%20of%20Inequalities.pdf

Date added: November 4, 2012 - Views: 5

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Lesson 22: Solution Sets to Simultaneous Equations

Lesson 22: Solution Sets to Simultaneous Equations . Student Outcomes Students identify solutions to simultaneous equations or inequalities; they solve systems of linear equations and inequalities either algebraically or graphically. Classwork . Opening Exercise (8 minutes)

http://academics.tulsaschools.org/Portals/Tulsa/Curriculum/docs/Math/Algebra%201/Unit%206/Lessons/1-22%20Solution%20Sets%20to%20Simultaneous%20Equations.pdf

Date added: March 19, 2014 - Views: 1

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7.9 Solve Systems of Linear Inequalities 1-/ /%

inequalities in two variables and to sketch the solution sets. ... How do you solve systems of linear inequalities in two variables? Tell ... The solution to a system of inequalities is a region of the plane.) ...

http://www.cojusd.org/cms/lib2/CA01001709/Centricity/ModuleInstance/1071/7.9%20Teacher%27s%20Edition.pdf

Date added: October 26, 2013 - Views: 7

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4.6 SYSTEMS OF LINEAR INEQUALITIES - McGraw-Hill Education

The solution set of the system is the intersection of the solution sets of y x 2 and y x 2, as shown in Figure 19. We have ... B Graphing Systems of Inequalities Many problems in business, economics, and the social sciences involve solving systems of

http://highered.mheducation.com/sites/dl/free/0072831065/192228/ch04_d.pdf

Date added: October 20, 2014 - Views: 1

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Lesson 22: Solution Sets to Simultaneous Equations

M1Lesson 22 ALGEBRA I Lesson 22: Solution Sets to Simultaneous Equations Student Outcomes Students identify solutions to simultaneous equations or inequalities; they solve systems of linear equations

http://commoncore.org/maps/images/math_documents/G9-M1-C-Lesson-22_Teacher_Materials.pdf

Date added: October 20, 2014 - Views: 1

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Quadratic and Rational Inequalities - Sinclair Community College

Quadratic and Rational (Nonlinear) Inequalities Let's review linear inequalities and remember some important details so that we can apply them

http://www.sinclair.edu/centers/mathlab/pub/findyourcourse/worksheets/Algebra/QuadraticAndRationalInequalities.pdf

Date added: December 10, 2012 - Views: 7

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7.5 SYSTEMS OF INEQUALITIES - University of Texas at El Paso

No point in the region is a solution of the inequality. 6 The Graph of an Inequality ... Systems of Inequalities Many practical problems in business, science, and engineering involve systems of linear inequalities. A

http://academics.utep.edu/Portals/1788/CALCULUS%20MATERIAL/7_5%20SYSTEMS%20OF%20INEQUALITIES.pdf

Date added: December 5, 2012 - Views: 12

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Section 3.1 • Systems of Linear Equations in Two Variables ...

Section 3.1 • Systems of Linear Equations in Two Variables • 163 SECTION Objectives 1 Determine whether an ordered pair is a solution of a system of linear

http://faculty.mdc.edu/mmontane/system-equation2.pdf

Date added: September 29, 2011 - Views: 62

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inequalities Systems of 7

... 12 Graph solution sets for systems of linear inequalities 13 ... A system of linear inequalities can have many solutions. ... symbols are not both “or equal to” then the intersection point is not a solution. 7.2 Systems of Linear Inequalities 423

http://www.gilbertschools.net/cms/lib3/AZ01001722/Centricity/Domain/819/Algebra%20I%20Teachers%20Textbook%20Chapter%207.pdf

Date added: October 20, 2014 - Views: 1

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Systems of Equations and Inequalities - pc|mac

and to sketch the solution sets. 15.0 Students apply algebraic techniques to solve rate problems, work problems, ... EXAMPLE 1 Identifying Solutions of Systems of Linear Inequalities Tell whether the ordered pair is a solution of the given system. A ...

http://images.pcmac.org/SiSFiles/Schools/CA/SMJUHSD/PioneerValleyHigh/Uploads/DocumentsCategories/Documents/Chapter%2006.pdf

Date added: March 29, 2014 - Views: 3

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Title: An Introduction To Solving And Graphing Inequalities ...

4 an inequality. Discuss how the inequality changes the meaning of the solution. After finding and graphing the solutions, identify a few representative values to use in the original inequalities to

http://www.nsa.gov/academia/_files/collected_learning/middle_school/pre-algebra/intro_solving_graph_inequal.pdf

Date added: September 26, 2011 - Views: 284

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Module 1 Topic C Solving Equations and Inequalities Lesson 10 ...

Lesson 11 - Solution Sets for Equations and Inequalities 1) 2) 3) 4) 5) _____ Review: Describe the following properties. 6) Associative: _____ 7) Commutative ...

http://www.perucsd.org/cms/lib07/NY01913885/Centricity/Domain/250/Module%201%20Topic%20C.pdf

Date added: October 20, 2014 - Views: 1

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7.5 Special Types of Linear Systems - Venice High School

to sketch the solution sets. ... 7.5 Special Types of Linear Systems. ... Lines intersect = Exactly one solution. Lines have different slopes Lines are parallel = No solution. Lines have the same slopes Lines coincide = Infinitely many solutions.

http://www.venicehigh.net/ourpages/auto/2007/9/13/1189732709476/7_5%20alg%20B.pdf

Date added: April 29, 2012 - Views: 2

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10 Solving Linear Inequalities 2.8 - Sinclair Community College

Department of Mathematics, Sinclair Community College, Dayton, OH 1 Solving Linear Inequalities (Including Word Problems) An inequality statement can be read from left to right or from right to left.

http://www.sinclair.edu/centers/mathlab/pub/findyourcourse/worksheets/Algebra/SolvingLinearInequalities.pdf

Date added: December 10, 2012 - Views: 267

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Grade 9 Solving Systems of Equations - Arizona Department of ...

What value do both equations have in common? ... Indicate the solution to the systems of equations and check your answer if possible. ... The solution to the set of inequalities is the set of all points that are both colors.

http://www.azed.gov/wp-content/uploads/PDF/Gr9MathD28-35.pdf

Date added: June 25, 2012 - Views: 246

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Systems of Equations and Inequalities; Counting Methods

... you learned that the intersection of two sets is joined by the word “and.” ... how many of each coin does she have? Solution: ... Entire careers are devoted to using systems of inequalities to ensure a company is making the most profit by

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Date added: June 14, 2014 - Views: 1

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UNIT 1 Single Variable Linear Equations

Graph solution sets of linear inequalities in a single variable using both inequality notation and interval notation, and set notation. Describe domain and range. ... • Solve systems of linear inequalities graphically.

http://www3.barringtonschools.org/casr/Math%20Documents/Curriculum%20Map%20-%20BMS%20Algebra.pdf

Date added: September 1, 2014 - Views: 3

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Algebra I - Brooklyn Technical High School

Lesson 13: Some Potential Dangers when Solving Equations Lesson 14: Solving Inequalities Lesson 15: Solution Sets of Two or More Equations (or Inequalities) ... inequalities in one variable, systems of equations, and graphing.

http://www.bths.edu/ourpages/auto/2014/1/5/48489775/Algebra.pdf

Date added: January 24, 2014 - Views: 1

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Workshop 3 Systems of Equations and Inequalities

Systems of Equations and Inequalities. Workshop 3 - 26 - Insights Into Algebra 1 Description ... solution to a system of equations? ... Many times they feel that they do not have anything to offer, ...

http://www.learner.org/workshops/algebra/support/workshop3.pdf

Date added: June 22, 2012 - Views: 7

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Ch. 5 Systems of Equations and Inequalities

solutions, using set notation to express their solution sets. 1) x ... 4 Solve Applied Problems Involving Systems of Inequalities ... 4 Identify Systems That Do Not Have Exactly One Ordered-Pair Solution 1) D 2) D 3) C 4) C 5) A 6) D 7) A 8) A 9) C

http://facstaff.gpc.edu/~kbota/MATH1111/Notes/Chapter05.pdf

Date added: April 30, 2014 - Views: 1

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Unit 1 - Single Variable Expressions/Equations/Inequalities

Why is it possible to have no solution or infinitely many solutions to an equation or an inequality? ... graph solution sets, and express solution set in interval notation. ... Additionally, they create and solve equations, inequalities, and systems of linear equations.

http://www3.barringtonschools.org/casr/Math%20Documents/BHS%20Algebra%201%20Curriculum%20Map%20Outline%201.6.14.pdf

Date added: January 28, 2014 - Views: 2

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Objective Teaching the Lesson materials - OSHEAN

Students extend their work with equations to finding solution sets of inequalities. ... equations students have solved so far have had only one solution, many inequalities have an infinite number of solutions. To ... 598 Unit 6 Number Systems and Algebra Concepts 244 6 LESSON Inequalities 12

http://www.ri.net/middletown/everydaymath/itlggrade6/U6.12.pdf

Date added: February 6, 2014 - Views: 2

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Chapter 7: Solving Systems of Linear Equations and Inequalities

SOLVE BY GRAPHING One method of solving systems of equations is to carefully graph the equations on the same coordinate plane. 370 Chapter 7 Solving Systems of Linear Equations and Inequalities

http://rossmath.weebly.com/uploads/1/3/6/3/13630858/algebra_chap07.pdf

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Algebra 1

What do these varieties of numbers have in common? They all obey the ... • Describe sets with set notation and find the union and ... • Graph and solve equations, inequalities, and systems of equations • Determine whether a relation is a function and describe the domain and ...

http://www.k12.com/sites/default/files/pdf/scope-sequence/scope-msalgebra1-092210.pdf

Date added: November 6, 2013 - Views: 1

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ALGEBRA I Introduction - Education Edition Home Page

Solutions of a compound inequality can be found either by identifying where the solution sets of the distinct inequalities overlap or by combining the solution sets to form a larger solution set. ... Linear systems can have one solution, no solution, or infinitely many solutions.

http://fc.dfrcec.com/curriculum/mathematics/High%20School%20Algebra%20I%20%20Learning%20Outcomes.pdf

Date added: March 5, 2014 - Views: 1

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Algebra I CPHonors - Comcast Business

... sentences and solution sets 2) Introduction to real numbers a) rational expressions ... Systems of Inequalities [AI.P.12] 1) ... • What types of inequalities have no solution? Infinitely many solutions?

http://doversherborn.comcastbiz.net/highschool/academics/math/Curriculum/Algebra%20I%20CPHonors.pdf

Date added: October 12, 2011 - Views: 19

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LINEAR EQUATIONS AND INEQUALITIES SOLVING TWO-STEP EQUATIONS

of two sets or more sets is a set containing all the elements in those sets. The . ... you can solve linear systems by solving one of the . ... is made up of two or more linear inequalities. A solution of a system of linear inequalities is an ordered pair that

http://www.materlakes.org/ourpages/auto/2012/3/6/46303923/Algebra%20I%20EOC%20Review%20Packet.pdf

Date added: October 14, 2014 - Views: 1

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MTH123: Algebra I - K12 | Online Public School, Online High ...

Students learn to use number properties to simplify expressions or justify statements; describe sets ... inequalities, and systems of equations. ... Linear equations usually have one solution, ...

http://www.k12.com/stc/pdf/hs_scope_and_sequence/MATH123.pdf

Date added: January 31, 2012 - Views: 4

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Linear Programming: A Geometric Approach Example – Graph ...

Linear Programming: A Geometric Approach 3.1: Graphing Systems of Linear Inequalities in Two Variables The general form for a line is ax+by+c = 0.

http://www.math.tamu.edu/%7Eepstein/141/notes/Ch3.pdf

Date added: February 11, 2012 - Views: 14

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COURSE: Math A1 15:1 GRADE LEVEL: 9

Number Lines Does every # have a place on the number line? ... Systems What are the properties of operation? ... variables have many solutions Determine solution set of two-variable problems Identify steps to solving two-

http://www.gfsd.org/District/Curriculum/Files/Maps/15-1/Grade9/MathA1-9.pdf

Date added: September 8, 2013 - Views: 1

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half-planes vertical line left half-plane and right half ...

Many applications of mathematics involve systems of inequalities rather than systems of equations. We will discuss solving (graphing) a single linear inequality in two ... The graph is called the solution region for the system, or

http://www.mth.msu.edu/~kadyrova/lectures/Lecture_29_31.pdf

Date added: March 19, 2014 - Views: 1

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2-1 Solving Linear Equations and Inequalities

and Inequalities An equation is a mathematical statement that two expressions are equivalent. ... symbols <, >, ≤, ≥, or ≠. The graph of an inequality is the solution set, the set of all points on the number line that satisfy the inequality. The properties of equality are true for ...

http://www.raineclass.com/textbook/tb7.pdf

Date added: September 13, 2012 - Views: 32

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MAIN GENERAL SUB TOPIC WHAT THE STUDENTS WILL KNOW OR BE ...

ABLE TO DO: MATERIALS WHEN STUDENT DOES IT: ... Systems of operation? ... variables have many solutions Determine solution set of two-variable problems Amsco Math Ch. 3, 5 March Homework Quizzes Tests Coordinate Plane used in real

http://www.gfsd.org/District/Curriculum/Files/Maps/15-1/Grade10/AlgebraI-9-10.pdf

Date added: September 10, 2013 - Views: 1

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Activity 2 Tracing Paper Inequalities - Calculators and ...

As you graph systems of linear inequalities, think about how the solution of a system ... want to prompt students to think about the solution sets for each system as well. 6. Students should notice that directionality of the shaded regions changes from

http://education.ti.com/~/media/2CEA86A3C79F4A05A8DF591DFAE805E5

Date added: May 9, 2013 - Views: 5

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1-2 - Welcome to MHHE

18 1 Equations and Inequalities where x and y are variables and a, b, c, d, h, ... solution sets you obtain. The following examples illustrate the advantages of using systems of equations and substitution in solving word problems.

http://www.mhhe.com/math/precalc/barnettpc5/graphics/barnett05pcfg/ch01/others/bpc5_ch01-02.pdf

Date added: April 18, 2012 - Views: 15

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Introducing solving equations: Teachers and the one-variable ...

A school algebra perspective on solving equations and systems of equations ... implicit until attention changes from linear equations to quadratic equations or to inequalities, or when linear equations with no solution or infinitely many solutions arise.

http://www.educ.msu.edu/kat/aerapapers/marcusaera2005.pdf

Date added: January 28, 2012 - Views: 9

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UNIT PLAN: SOLVING SYSTEMS OF EQUATIONS - Buffalo State College

AA7 Analyze and solve verbal problems whose solution requires solving systems of ... AG7 Graph and solve systems of linear equations and inequalities with rational coefficients in two variables. ACM10 Solve systems of linear equations using concrete models, graphs, tables,

http://math.buffalostate.edu/%7Eit/projects/Stephens.pdf

Date added: October 11, 2011 - Views: 218

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How to Solve Linear Inequalities - JSTOR

an amount of the same order of magnitude as that involved in solving systems of equations. In fact, this ... Geometry of Convex Sets. After taking his degree at ... in order to solve a linear program one must in the process find a solution of these inequalities. It turns out, on ...

http://www.jstor.org/stable/2316658

Date added: June 27, 2013 - Views: 1

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4 Linear Programming - Cengage Learning

Set up and solve systems of linear inequalities 4.2 Solving Linear Programming ... Although strict inequalities have many useful ... If the solution to a linear programming problem exists, it will occur at a

http://college.hmco.com/instructors/catalog/walkthroughs/pdf/061833291X_ch04.pdf

Date added: December 29, 2011 - Views: 48

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Real solvingpolynomialsystemsof inequalities: the case of ...

the initial problem to computing sampling points in several real algebraic sets de ned by polynomial systems with coe cients in Q. ... system of inequalities when the solution set is known to be bounded. ... Real solving polynomial systems of inequalities: the bounded case 5

http://www-spiral.lip6.fr/MACIS2007/Papers/submission_43.pdf

Date added: November 9, 2012 - Views: 4

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Three Inequalities in Search of a Solution?

Three Inequalities in Search of a Solution? Failing Boys? Issues in Gender and Achievement ... In this country we have witnessed a social revolution in the last 20 years. ... occurred in all four different education systems in Britain, including the one with grammar schools and

http://www.jstor.org/stable/1501885

Date added: September 1, 2014 - Views: 1