Algebra 1: Common Core (15th Edition)

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

Chapter 3 - Solving Inequalities - 3-3 Solving Inequalities Using Multiplication or Division - Practice and Problem-Solving Exercises - Page 181: 10

Answer

-$\frac{4}{5}$≥y
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Work Step by Step

Multiply both sides by -$\frac{4}{5}$; switch the inequality sign: 1$\leq$-$\frac{5}{4}$y -$\frac{4}{5}$ $\geq$ y Check that -$\frac{4}{5}$ is a solution at the limit: 1=-$\frac{5}{4}$(-$\frac{4}{5}$) 1=1.This is correct. Check that a number less than -$\frac{4}{5}$ is a solution: 1$\leq$-$\frac{5}{4}$ $\times$ -1 1$\leq$-$\frac{5}{4}$.This is correct. When graphing, use a closed circle because -$\frac{4}{5}$ is part of the solutions.
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