Solve the inequality |x| < 5. x x < -5 ∪ x > 5 x

Question

Solve the inequality |x| < 5.

-5 < x < 5
x < -5 ∪ x > 5
x

Answer 1

-5 < x < 5

Explanation:

I got the answer right.

Answer 2

Hello!

The answer is:

{-5<x<5}

Why?

To solve the problem, we need to remember how Absolute Value Functions behave, when we have this type of function, related to an inequality, the solution will be between two values.

We are given the inequality:

`|x|<5`

So, we know that "x" will be between -5 and 5:

`-5<x<5`

Hence, the solution of the given inequality will be:

(-5,5) or {-5<x<5}

Have a nice day!