Respuesta :

kudzordzifrancis

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}