Question

On a number line, show all values of x for which…
|x |< 1

Answer 1

See attachment

Explanation:

We want to show all values of x, for

`|x| \: < \: 1`

on the number line.

By the definition of absolute value function:

`- x \: < \: 1 \: or \: x \: < \: 1`

Divide through the first inequality by -1 and reverse the sign.

`x \: > \: - 1 \: or \: x \: < \: 1`

On the number line, we can represent this as shown in attachment.