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 572: 57

Answer

The solution set is the region shaded GRAY .

Work Step by Step

We will graph the solution region for each inequality. 1. $ x-y=2,\quad$ solid line $(\leq)$ x:intercept: $ x-0=2\quad$point: $(2,0)$ y:intercept: $ 0-y=2\quad$point: $(0,-2)$ Test (0,0):$\quad 0-0\leq 2?\quad$ Yes Shade the region containing (0,0) 2. $ x=-2,\quad$ dashed $( < )$, vertical line passing through $(-2,0)$ Test (0,0):$\quad 0 > - 2?\quad$ Yes Shade the region containing (0,0) 3. $ y=3, \quad$ solid line $(\geq),$ horizontal line passing through $(0, 3)$ Test (0,0):$\quad 0\leq 3?\quad$ Yes Shade the region containing (0,0) If there is a solution set, it is the region with ALL 3 shadings. The solution set is the region shaded GRAY
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.