Question

Exhaustive interval of x for which 3 < |x – 2| < 5 is​

Answer 1

Concept Introduction:-

Intervals in which all possible values of variables are included are called exhaustive intervals.

Given Information:-

We have been given that Exhaustive interval of $x$ for which $3 < |x -2| < 5$

To Find:-

We have to find that the value of the Exhaustive interval of $x$ for which $3 < |x -2| < 5$

Solution:-

According to the problem

$3 < (x-2) < 5\\3+2 < x-2+2 < 5+2\\5 < x < 7$

Final Answer:-

The Exhaustive interval of $x$ for which $3 < |x -2| < 5$ is​ $5 < x < 7$.