Question

Which of the solution sets is all real numbers?


|x| < -1
|x| = -1
|x| > -1

Answer 1

what is the range of |x|?

Answer 2

I'm not sure.

Answer 3

can the results ever be negative when we put a number into |x| ?

Answer 4

No, the to lines on the outside of it mean absolute value, which is just the number it is away from 0.

Answer 5

good, then for any real number x, the absolute value of x is always greater than -1

Answer 6

since -1 is less than 0

Answer 7

So, my answer would be C. Because it can't be equal to -1 and can't be less than it either.

Answer 8

correct

the domain of |x| is all real numbers

the range of |x| is [0,+inf)

therefore the solution set that contains all real numbers is the one that satisfies |x| < -1

Answer 9

|x| > -1 lol

Answer 10

Thank you so much!!

Answer 11

youre welcome