# |x^2 - 2| < 1 Please can anyone help? How to solve this absolute value problem?

##### 2 Answers

Mar 15, 2018

#### Answer:

The solution is

#### Explanation:

There are

You can prove theses solutions by a sign chart.

Combining the

graph{|x^2-2|-1 [-6.24, 6.25, -3.117, 3.126]}

Mar 15, 2018

#### Answer:

See below.

#### Explanation:

Squaring both sides

the set

is an extraneous solution, is not feasible and was included due to the squaring operation.

Finally