Algebra 1: Common Core (15th Edition)

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

Chapter 8 - Polynomials and Factoring - 8-2 Multiplying and Factoring - Practice and Problem-Solving Exercises - Page 496: 54


The answer of this question is y $\geq$ $\frac{8-7x}{-2}$. You can simplify this to y $\geq$ -4-7x as 8 can be divided by -2.

Work Step by Step

To solve this inequality for y, you first subtract 7x from both the sides, which results in -2y $\leq$ 8-7x. Next, you divide the -2 from both the sides which isolates y. BUT because you're dividing from a negative number you will have to flip the sign. The answer is y $\geq$ $\frac{8-7x}{-2}$.
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