Question

What is the solution to the inequality |X-4 <3?

-7 O 1 Ox<-7 or x<-1
x> 1 or x<7

Answer 1

x > 1 or x < 7

Explanation:

| x - 4 | < 3

± ( x - 4 ) < 3

There are two possible cases

( x - 4 ) < 3 or - ( x - 4 ) < 3

x - 4 < 3 or - x + 4 < 3

x < 3 + 4 or 4 - 3 < x

x < 7 or 1 < x

x > 1 or x < 7

Therefore option 4 is correct.