Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 2 - Section 2.7 - Solving Linear Inequalities - Exercise Set - Page 197: 128


$$y \geq 6.5$$

Work Step by Step

Our first step to solving this equation is to subtract $4.8y$ from both sides to isolate the variable to one side of the equation: $$-14.2y + 126.8 \leq 34.5$$ Subtract $126.8$ on both sides to move all constants to one side: $$-14.2y \leq -92.3$$ We divide each side by $-14.2$, but because we are dividing by a negative number, we need to reverse the sign from "less than or equal to" to "greater than or equal to": $$y \geq 6.5$$
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