ANSWER
See attachment
EXPLANATION
The given inequality is
[tex] |x| \: > \: \frac{3}{2} [/tex]
This implies that,
[tex] x\: > \: \frac{3}{2} \: or \: - x\: > \: \frac{3}{2} [/tex]
Multiply both sides of the second inequality by -1 and reverse the inequality sign.
[tex] x\: > \: \frac{3}{2} \: or \: x\: < \: - \frac{3}{2} [/tex]
The graphical solution to this inequality is shown in the attachment.
