Answer
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
$y\geq \frac{7}{2}x - 4$
