# How do you solve the inequality 5(2m-4)-5<55?

Jun 21, 2018

$m < 8$

#### Explanation:

$5 \left(2 m - 4\right) - 5 < 55$

Expand

$10 m - 20 - 5 < 55$

Group

$10 m < 55 + 20 + 5$

$10 m < 80$

Divide both sides by $10$

$m < 8$

So

$m = \left\{7 , 6 , 5 , 4 , 3 , \ldots\right\}$