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Which of the following is the solution set of -2|x| < -8

x
-4 < x < 4
x

User Estiny
by
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2 Answers

3 votes

We can solve this inequality by dividing both sides by -2. However, since we are dividing by a negative number, we need to reverse the inequality:

-2|x| < -8

|x| > 4

This inequality is satisfied when x is less than -4 or greater than 4, since the absolute value of any number less than -4 or greater than 4 will be greater than 4.

Therefore, the solution set is:

x

User Omar Abdelrazik
by
7.8k points
4 votes

Answer:


x

Explanation:

−2|x| < −8 ↷

−2x > 8 −2x < −8

___ __ ___ ___

2 2 2 −2


-4 > x OR
4 < x

Whenever you multiply\divide by a negative, you reverse the inequality symbol.

I am joyous to assist you anytime.

User Howserss
by
7.3k points

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