Question

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

a) x < 4

b) x > 4

c) x < -4

d) x > -4

Answer 1

The solution set of -2|x| < -8 is x < -4 or x > 4.

Step-by-step explanation:

To find the solution set of -2|x| < -8, we need to solve for x. Firstly, we divide both sides of the inequality by -2, which gives us |x| > 4. Since the absolute value of a number can never be negative, we can remove the absolute value signs, resulting in x > 4 or x < -4.

Therefore, the solution set is x < -4 or x > 4. So, the correct answer is (c) x < -4 and (d) x > 4.