# How do you solve the inequality 7a-5<9?

Feb 28, 2016

a < 2

#### Explanation:

isolate the 7a term by moving -5 over to the right of the inequality.

add 5 to both sides : 7a - 5 + 5 < 9 +5

hence 7a < 14

now divide both sides by 7

$\Rightarrow \frac{\cancel{7} a}{\cancel{7}} < \frac{14}{7} \Rightarrow a < 2$