Math question for |x-13|+5 >0

Question

Solve |x - 13| + 5 > 0 using interval notation

Answer 1

|x-13|+5>0

|x-13|>-5

x-13<-5

x<-5+13

x< 8

or

x-13>5

x> 5+13

x > 18

x<8 or x>18

(-infinity, 8) U (18, infinity) in interval notation

{x| 8 is not < x & x is not < 18} if you have a slash sign through =, use it, similar to {x|8</ x </ 18|

in set builder notation

{x|x is not 8 or 18 or any real number inbetween)

if restricted to integers

{x|x is not 9,10,11,12,13,14,15,16,17}