Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 3 - Solving Inequalities - 3-8 Unions and Intersections of Sets - Practice and Problem-Solving Exercises - Page 219: 32


$\{t|t \geq \frac{-7}{3}\} \cap \{t \leq 3 \}$

Work Step by Step

$|4.5t-1.5|\leq 12 $ $-12 \leq 4.5t-1.5 \leq 12$ $-10.5 \leq 4.5t \leq 13.5$ $\frac{-7}{3} \leq t \leq 3$ The solutions of the inequality are given by $ \frac{-7}{3} \leq t \leq 3$. You can write this as $t \geq \frac{-7}{3}$ and $t\leq3$. This compound inequality is the intersection of two sets, which you can write as follows: $\{t|t \geq \frac{-7}{3}\} \cap \{t \leq 3 \}$
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