Question

What values of x satisfy the inequality Ix| > 12?

Answer 1

Ix| > 12

answer:
x> 12 or x<-12

Answer 2

for |a|>b solve for a such that
a>b and a<-b

so

|x|>12

x>12 and x<-12

the values that satisfy the inequality are all numbers except those from -12 to 12 including -12 and 12

in interval notation
(-∞,-12) U (12,∞)
so 13 and 35 and -30 are some values that satify the inequality