Absolute Value Inequality Help

[Prinny Laharl]

Well I'm having trouble solving the following:

absolute value of x squared minus 2 is less than 1

I don't only want to get the answer but I would like to see all the steps required to solve this problem.
Thanks in advance

 

[mmm4444bot]

When we have this form:

|expression| < value

it means:

-value < expression < value

EG:

Given:

|x/2 + 7| < 4

We eliminate the absolute value symbols by writing:

-4 < x/2 + 7 < 4

Now, solve for x using the usual algebraic steps, carried out on all three sides of the inequality symbols.

Multiply by 2:

-8 < x + 14 < 8

Subtract 14:

-22 < x < -6

 

[Prinny Laharl]

Thank you