Explanation Given: The system of inequalities is x + 4 y < − 20 y ≤ x Graph: Subtract both sides of inequality x + 4 y < − 20 by x , x + 4 y − x < − 20 − x 4 y < − 20 − x Divide both sides ofabove inequality by 4 to eliminate the coefficient attached to the variable y , 4 4 y < 1 4 ( − 20 − x ) y < − 20 − x 4 The graph of the equation y < − 20 − x 4 is drawn by constructing the table for its values for which the inequality is taken as an equation y = − 20 − x 4 . For x = 0 , substitute 0 for x . y = − 20 − ( 0 ) 4 = − 20 4 = − 5 For x = − 4 , substitute − 4 for x . y = − 20 − ( − 4 ) 4 = − 20 + 4 4 = − 4 For x = 4 , substitute 4 for x . y = − 20 − ( 4 ) 4 = − 24 4 = − 6 Construct the table, using various values of x and y , for the inequality x + 4 y < − 20 . x 0 − 4 4 y − 5 − 4 − 6 The graph for equation y ≤ x is drawn by constructing the table for its values for which the inequality is taken as an equation y = x . For x = 0 , substitute 0 for x . y = 0 For x = − 2 , substitute − 2 for x y = − 2 For x = 2 , substitute 2 for x

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ISBN: 9780135909942

Author: TOBEY/SLATER

Publisher: PEARSON

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Chapter 4.4, Problem 23E

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To graph: The system of inequalities, x+4y<−20 and y≤x.

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Chapter 4.4, Problem 22E

Chapter 4.4, Problem 24E

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Chapter 4 Solutions

INTERMEDIATE ALGEBRA - 18 WEEK MML CODE

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