1 Answer

Dave Anderson · Answer 1 · 2020-01-19T02:15:30+0000

Answer:

$x\:>\:4$ or
$x\:<\:-4$

Explanation:

The given absolute value inequality is
$-2|x|\:<\:-8$

Divide both sides of the inequality by -2 and reverse the inequality sign:

$|x|\:>\:4$

By the definition of the absolute value function;

Either
$x\:>\:4$ or
$-x\:>\:4$

Divide through the rightmost inequality by -1 and reverse the sign.

This implies that:

$x\:>\:4$ or
$x\:<\:-4$

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