Question

Which of the solution sets is all real numbers? |x| < -1 |x| = -1 |x| > -1?

Answer 1

option 3 is correct that is |x|>-1.

Explanation:

We have given the absolute value function

Absolute function always gives the positive value.

Therefore, option 1 and 2 are correct.

Because neither the |x| can take value -1 and nor less than -1

Hence, it can take values which are greater than -1

Therefore, option 3 is correct.

Answer 2

|x| > -1 represents all real numbers.