Question

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

Answer 1

Answer:

all real numbers

Step-by-step 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

Answer:

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.