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Which of the followings is in the range ...

Which of the followings is in the range of `x` such that `2 le |x-1| le 3`.

A

`7`

B

`-1`

C

`0`

D

`-3`

Text Solution

Verified by Experts

The correct Answer is:
B

In this case,
`-3 le x - 1 le -2` or `2 le x - 1 le 3`
`rArr -2 le x le -1` or `3 le x le 4`
`rArr x in [-2, -1] cup [3, 4]`
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