# How do you solve the inequality z/4+ 7> -5?

Jan 8, 2016

Solve assuming it it is a linear equation. In the case of a negative multiplication/division over the inequality sign, switch the direction of the inequality sign.

#### Explanation:

$\frac{z}{4}$ + 7 > -5

$\frac{z}{4}$ > -12

z > -12 • 4

z > -48

If you select a test point, say -44, it should work in both the original equation and in the final result.