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

Ix| > 12

answer:

x> 12 or x<-12

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