College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 3 - Section 3.1 - Functions - 3.1 Assess Your Understanding: 4

Answer

$(-\infty, -1)$ Refer to the image below for the graph.
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Work Step by Step

Add $2x$ to both sides of the inequality: $3-2x+2x\gt 5+2x \\3 \gt 5+2x$ Subtract $5$ to both sides of the inequality: $3-5 \gt 5+2x-5 \\-2 \gt 2x$ Divide $2$ to both sides of the inequality: $\frac{-2}{2} \gt \frac{2x}{2} \\-1 \gt x$ This inequality is equivalent to: $x \lt -1$ Thus, the solution set is $(-\infty, -1)$. To graph the solution set, plot a hole at $-1$ then shade the region to its left.
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