Question

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

Answer 1

Answer:

See attachment

Step-by-step 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.