Question

What is the solution set for |x – 2|– 1 > 2?

Answer 1

|x – 2|– 1 > 2


|x – 2| > 2 + 1


|x – 2| > 3


x – 2 > 3 or x - 2 < -3


x > 3 + 2 or x < -3 + 2


x > 5 or x < -1

Answer 2

|x – 2|– 1 > 2 ===> |x – 2| > 3 ===>x-2 > 2 ==> x>4 or x-2<-2 ==> x<0