Algebra 1: Common Core (15th Edition)

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

Chapter 6 - Systems of Equations and Inequalities - Get Ready!: 8

Answer

$r\leq35$

Work Step by Step

We start with the given inequality: $-\frac{r}{5}+1\geq-6$ We multiply the entire inequality by $5$ to clear the fraction: $$5\left[-\frac{r}{5}+1\geq-6\right]$$$$-r+5\geq-30$$We add $r+30$ to each side of the inequality and then combine like terms: $$-r+5+r+30\geq-30+r+30$$$$35\geq r$$We can rewrite this by flipping it around as $r\leq35$.
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