Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 3 - Solving Inequalities - Chapter Review - 3-4 Solving Multi-Step Inequalities - Page 224: 32


$ y \leq -56$

Work Step by Step

We first add 6 to both sides of the equation. In order to cancel out a fraction that is being multiplied by a variable, we multiply by the reciprocal of the fraction. Thus, we then multiply both sides of the inequality by -7/6. $ - \frac{6}{7}y \geq 48 \\\\ y \leq -56$ (Note, the direction of the inequality symbol is flipped because we divide by a negative).
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