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If -4lex lt 2 then ||x+2|-3 lies in the...

If `-4lex lt 2 ` then ||x+2|-3 lies in the inerval

A

(1,3]

B

[1,3]

C

[0,3]

D

`[0,oo)`

Text Solution

Verified by Experts

The correct Answer is:
C
We have `-4 le x lt 2`
`rArr -2 le x +2 lt 4 `
`rArr 0 le x+2 lt 4 `
`rArr -3 le |x+2|lt 4 `
`rArr 0 le ||x+2|-3| le 3 `
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