College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 5 - Systems of Equations and Inequalities - Exercise Set 5.5 - Page 571: 33

Answer

The solution set is the region shaded GRAY. .
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Work Step by Step

We will graph two lines and shade the solution region for each inequality. 1 (red) $x+2y=4 \quad $solid line ( sign is $\leq )$, x-intercept:$\quad x+0=4\quad$ point: ($4,0)$ y-intercept:$ \quad 0+2y=4\quad$ point: ($0,2)$ Testing (0,0):$\quad 0+2(0) \leq 4 \quad ?$ Yes, shade the region containing (0,0) 2 (blue) $y=x-3 \quad $solid line ( sign is $\geq )$, y-intercept: $y=-3$, point: ($0,-3)$ second point:$ x=3, $ $y=3-3=0$, point: $(3,0)$ Testing (0,0):$\quad 0\geq 0-3 \quad ?$ Yes, shade the region containing (0,0) The solution set is the region with BOTH shadings The solution set is the region shaded GRAY
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