Question

2 < |x-2| < 5
Find the range of x

Answer 1

Answer:

here's your answer mate

hope this will help you

Answer 2

Step-by-step explanation:

2< |x-2|

→ 2<x-2 or , x-2< -2

→ x>4 or , x<0

And ,

|x-2| < 5

→x-2<5. or , x-2> -5

→ x<7 or , x >-3 ..................

Taking intersection of both conditions

Hence , x belongs to (-3, 7)