Solve |x| > -9. x < -9 or x > 9 all reals no solution

Question

Solve |x| > -9.
x
all reals
no solution

Answer 1

all real numbers

Explanation:

|x| > -9

x is in the absolute value so any number of x will be positive or at least 0 and always greater than -9. So then the answer is all real numbers

Answer 2

To solve an inequality with absolute values, we use the theorems which states:

`\ if \ |a|<b \ then \ -b<a<b`

`\ if \ |a|>b \ then \ a>b \ or \ a<-b`

So, the given expression is the second case. Now, we just replace each value:

`|x|>-9\\x>9 \ or \ x<-9`

This result means that all solution from the given inequality are more than 9 or less than -9.