ANSWER
{x|x>-12 or x<12}
EXPLANATION
The given inequality is
[tex] |x| \: < \: 12[/tex]
This implies that
[tex] - x \: < \: 12 \: or \: x \: < \: 12[/tex]
Divide the first inequality by -1 and reverse the sign to get;
[tex] x \: > \: - 12 \: or \: x \: < \: 12[/tex]
The correct answer is
{x|x>-12 or x<12}
