# How do you solve the inequality x + 18 – 2(x – 22) >0?

Feb 8, 2016

x < 62

#### Explanation:

first step is to distribute the brackets

x + 18 - 2x + 44 > 0

collect 'like terms' : -x + 62 > 0

hence -x > -62

( to obtain the result for x , require to divide by (-1) , which results in a reversal of the inequality sign )

hence x < 62