What is the solution set of -|x| = -8?

asked Jan 7, 2023 89.7k views

25 votes

What is the solution set of -|x| =
-8?

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Answer:

$\{8,-8\}$

Explanation:

$~~~-|x| = -8\\\\\implies |x| = (-8)/(-1)\\\\\implies |x| = 8\\\\\implies x = \pm 8\\\\\text{Hence, the solution set is}~ \{8,-8\}$

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