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

{x | x < -4 or x > 4}

Step-by-step explanation:

We know it is going to be an or statement because when the absolute value of x is greater than a number, the solution will contain and or statement.

To solve:

-2|x| < -8

-divide both sides by -2

 Make sure to switch the inequality sign around since we divided by a negative number!!!

x > 4  

x > 4   or   x < -4