# What is the solution set for #absx < 15#?

##### 1 Answer

Aug 14, 2015

#### Explanation:

All you really have to do to solve this absolute value inequality is to take into account the two possible signs

#x>0 implies |x| = x#

In this case, the inequality becomes

#x < 15#

#x<0 implies |x| = -x#

This time, you have

#-x < 15 implies x > -15#

So, the solution set to this inequality will include any value of *simultaneously* satisfies these conditions,

Therefore, the solution set will be