# How do you solve #abs(10+x)<=13#?

##### 1 Answer

Apr 15, 2017

#### Explanation:

Inequalities of the type

#|x|<=a# always have solutions of the form.

#-a<=x<=a#

#rArr-13<=10+x<=13# Isolate x in the centre interval by subtracting 10 from ALL 3 intervals.

#-13-10<=cancel(10)cancel(-10)+x<=13-10#

#rArr-23<=x<=3" is the solution"#