Question

Which of the following solution sets is all real numbers?

|x|>-2
|x|=-2
|x|<-2

Answer 1

|x| = x for x > 0

examples

|3| = 3; |6| = 6; |10,456.7|= 10,456.7

|0| = 0

|x| = -x for x < 0

examples

|-4| = -(-4) = 4; |-100| = -(-100) = 100; |-34,567.9| = 34,567.9

So. The conclusion is |x| ≥ 0 for all real numbers.

Therefore

|x| > -2 → x ∈ R /all real numbers/

Answer 2

|x|>-2 should be your answer

|x| means that no matter what the number (x) is, it will always be positive.

Because a positive number is always greater than a negative, (A) is your best answer choice

hope this helps