# Chapter 8 - Polynomials and Factoring - 8-2 Multiplying and Factoring - Mixed Review - Page 484: 54

The equation of the inequality is $y\geq \frac{7}{2}x - 4$

#### Work Step by Step

Given the inequality $-2y+7x\leq 8$ We subtract 7x from both sides $-2y\leq 8-7x$ We divide -2 by both side and since we are dividing by a negative number the signs flip $y\geq \frac{7x-8}{2}$ We simplify the fraction to get the final inequality $y\geq \frac{7}{2}x - 4$

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