Question

Solve |x| > -9.


{x | x < -9 or x > 9}
all reals
no solution

Answer 1

When given an absolute value inequality with x alone in the absolute value bars, one can assume any number, negative or positive for x, will come out to a positive number when taken through the absolute value, so any value for x can be positive. What do you think it is?

Answer 2

all i see is a bunch of words that make no sense lol

Answer 3

Do you understand what the absolute value bars do to the x value?

Answer 4

NO

Answer 5

|x| means that everything inside of it is positive no matter what.
even if there is a negative inside |-x| it will still equal |x|
|x| just means always positive.

Your problem:
|x|>-9
So if everything in |x| is always positive, wouldn't that mean that "x" can be everything?
Since it has the |x| which makes the "x" positive, it would always be bigger than the "-9" no matter what the number ;)

Answer 6

Sorry i don't know if I explained that well, just let me know

Answer 7

Like since |x| is always positive, it's gonna be bigger than the negative number "9" no matter what :P, cause positives are ALWAYS bigger than negatives :)