Question

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

Answer 1

The correct answer is A

{
`x|-5<\:x<\:5`}

Step-by-step explanation

`|x|<5`

This implies that

`x<5\:or\:-x<5`

We solve the compound inequality to obtain,

`x<5\:or\:x>-5`

Remember that, dividing through by negative 1 reverses the inequality sign

The solution set is

{
`x|-5<\:x<\:5`}