Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 2 - Solving Linear Inequalities - 2.3 - Solving Inequalities Using Multiplication or Division - Exercises - Page 71: 28

Answer

The correct solution is $ y\geq 8$. The second step is wrong, $\leq$ must be changed to $\geq$.

Work Step by Step

The given inequality is $\Rightarrow -4y\leq -32$ Divide each side by $-4$. Reverse the inequality symbol. $\Rightarrow \frac{-4y}{-4}\geq \frac{-32}{-4}$ Simplify. $\Rightarrow y\geq 8$ Hence, the correct solution is $ y\geq 8$. The second step is wrong, $\leq$ must be changed to $\geq$.
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