# How do you solve #abs(x - 7)<10#?

##### 1 Answer

Apr 7, 2015

We have two situations

(1)

and

(2)

**Case (1)**

If

then

is equivalent to

so the inequality holds if

**Case (2)**

If

is equivalent to

so the inequality holds if

**Solution**

The solution to the given inequality includes all values in the 2 ranges

and

which can be combined into a single range