Explanation Consider the given inequalities: x + 4 y ≤ − 4 (1) y ≥ 1 4 x + 3 (2) The corresponding straight line for the equation (1) is x + 4 y = − 4 . Since the inequality is not strict ( ≤ ) , solid line has to be used. Take ( 0 , 0 ) as test point to determine which side of dashed line x + 4 y = − 4 is shaded. Substitute x = 0 and y = 0 in equation (1). x + 4 y ≤ − 4 ( 0 ) + 4 ( 0 ) ≤ ? − 4 0 + 0 ≤ ? − 4 0 ≤ − 4 ( False ) Thus, the point ( 0 , 0 ) should not lie in the shaded region. With the above observation, sketch the graph of the equation (1) as shown below in Figure 1

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ISBN: 9780321880116

Author: Michael Sullivan III, Katherine R. Struve, Janet Mazzarella

Publisher: PEARSON

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Chapter 4, Problem 92RE

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To graph: The system of inequalities {x+4y≤−4y≥14x+3.

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Chapter 4, Problem 91RE

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Chapter 4 Solutions

Elementary & Intermediate Algebra

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To graph: The system of inequalities { x + 4 y ≤ − 4 y ≥ 1 4 x + 3 .

Solution Summary: The author illustrates the system of inequalities in lx+4y, corresponding straight line for the equation.

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To graph: The system of inequalities {x+4y≤−4y≥14x+3.

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