I need HELP with this calculus problem!!?

Question

The solution to (x-5)(x+5)>0 is

a) |x | >5
b) |x | <5
c) -5 < x <5
d) -5 less than or equal to X less than or equal to 5

Answer 1

Both factors need to be positive...
x-5>0 and x+5>0 → x>-5 and x>5 → x>5

OR both must be negative...
x-5<0 and x+5<0 → x<-5 and x<5 → x<-5 → -x>5

So either x or (-x) is greater then 5, so |x|>5.

Answer 2

x-5>0
x+5>0
x=5 and -5

-5
The answer is c.

Answer 3

5>x
5>-x
that mean c

Answer 4

a

Answer 5

c.