Explanation Given: The system of inequalities is 2 x − y < 2 2 x − y > − 2 Graph: Subtract both the sides of inequality 2 x − y < 2 by 2 x , 2 x − y − 2 x < 2 − 2 x − y < 2 − 2 x Multiply by − 1 . This changes the inequality sign. − 1 ( − y ) < − 1 ( 2 − 2 x ) y > 2 x − 2 The graph of theequation y > 2 x − 2 is drawn by constructing the table for its values for which the inequality is taken as an equation y = 2 x − 2 . For x = 0 , substitute 0 for x . y = 2 ( 0 ) − 2 = − 2 For x = − 2 , substitute − 2 for x . y = 2 ( − 2 ) − 2 = − 4 − 2 = − 6 For x = 2 , substitute 2 for x . y = 2 ( 2 ) − 2 = 4 − 2 = 2 Construct the table, using various values of x and y , for the inequality 2 x − y < 2 . x 0 − 2 2 y − 2 − 6 2 Simplify the inequality 2 x − y > − 2 , − y > − 2 − 2 x Multiply by − 1 . This changes the inequality sign. − 1 ( − y ) > − 1 ( − 2 − 2 x ) y < 2 x + 2 The graph of the equation y < 2 x + 2 is drawn by constructing the table for its values for which the inequality is taken as an equation y = 2 x + 2 . For x = 0 , substitute 0 for x . y = 2 ( 0 ) + 2 = 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 20E

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To graph: The system of inequalities, 2x−y<2 and 2x−y>−2.

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Chapter 4.4, Problem 19E

Chapter 4.4, Problem 21E

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Chapter 4 Solutions

INTERMEDIATE ALGEBRA - 18 WEEK MML CODE

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