Algebra 1: Common Core (15th Edition)

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

Chapter 3 - Solving Inequalities - Common Core Cumulative Standards Review - Selected Response - Page 229: 14



Work Step by Step

We first subtract 1 on both sides to obtain that $-1/9 a \lt 7$. In order to cancel out a fraction that is being multiplied by a variable, we multiply by the reciprocal of the fraction. Thus, we multiply both sides of the inequality by -9/1 to obtain that $ a \gt -63$. Because we multiply by a negative, we flip the inequality sign.
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