Explanation Given: The linear inequalities are 3 x + y > 8 and x − 2 y > 5 . Graph: The graphs for the equations are made by constructing tables for the equations with values of x and y . First take the inequality 3 x + y > 8 . The graph of 3 x + y > 8 is region above the line 3 x + y = 8 . It does not include the line. So, the dashed line to indicate the line is not the part of solution. So, firstly draw the line 3 x + y = 8 , When x = 0 , s ubstitute 0 for x. 3 ( 0 ) + y = 8 0 + y = 8 y = 8 When x = 8 3 , substitute 8 3 for x. 3 ( 8 3 ) + y = 8 8 + y = 8 y = 8 − 8 y = 0 When x = 1 , substitute 1 for x. 3 ( 1 ) + y = 8 3 + y = 8 y = 8 − 3 y = 5 Construct a table for the various values of x and y for the inequality 3 x + y > 8 x 0 8 3 1 y 8 0 5 Consider the test point ( 0 , 0 ) . Substitute 0 for x and 0 for y. 3 x + y > 8 3 ( 0 ) + ( 0 ) > 8 0 + 0 > 8 0 > 8 The point ( 0 , 0 ) does not satisfy the inequality. So, the region of the graph is on the side where the point ( 0 , 0 ) does not lies

MYLAB MATH FOR INTERMEDIATE ALGEBRA 18WK

8th Edition

ISBN: 9780136418306

Author: Tobey

Publisher: PEARSON

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Chapter 4, Problem 14T

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To graph: The system of linear inequalities 3x+y>8 and x−2y>5.

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Chapter 4, Problem 13T

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Chapter 4 Solutions

MYLAB MATH FOR INTERMEDIATE ALGEBRA 18WK

Ch. 4.1 - Verbal and Writing Skills, Exercises 1-4 Explain...Ch. 4.1 - Verbal and Writing Skills, Exercises 1-4 Explain...Ch. 4.1 - Verbal and Writing Skills, Exercises 1-4 3. How...Ch. 4.1 - Verbal and Writing Skills, Exercises 1-4 When you...Ch. 4.1 - Determine whether the given ordered pair is a...Ch. 4.1 - Prob. 6E Ch. 4.1 - Solve the system of equations by graphing. Check...Ch. 4.1 - Prob. 8E Ch. 4.1 - Solve the system of equations by graphing. Check...Ch. 4.1 - Solve the system of equations by graphing Check...

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