Question

Where on a number line are the numbers x for which |x| > 1

Answer 1

`1 < x < -1`

Explanation:

Given the inequality

`|x| > 1`

The modulus of x shows that x can be both positive and negative value.

If x is positive:

`x > 1`

`1 < x`

If x is negative:

`-x > 1`

Multiplying both sides of the inequality by minus will change the inequality sign

`x < -1`

Combining both inequalities:

`1 < x < -1`

Find the position on the number line in the attachment