# How do you solve the inequality 6(2z+3)<=-54?

May 10, 2016

$z \le - 6$

#### Explanation:

Treat it the same way as an equation, except....

• If you multiply or divide by a negative number the inequality sign changes around.
• If there is one fraction on each side and you invert them, the inequality sign changes around.
• DO NOT cross multiply

$12 z + 18 \le - 54$

#12z <= -54 -18

$12 z \le - 72 \text{ now divide by 12}$

$z \le - 6$