Answer:
See attachment
Step-by-step explanation:
We want to show all values of x, for
[tex] |x| \: < \: 1[/tex]
on the number line.
By the definition of absolute value function:
[tex] - x \: < \: 1 \: or \: x \: < \: 1[/tex]
Divide through the first inequality by -1 and reverse the sign.
[tex]x \: > \: - 1 \: or \: x \: < \: 1[/tex]
On the number line, we can represent this as shown in attachment.
