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If |x+2| le 9, then...

If `|x+2| le 9`, then

A

` x in (-7,11)`

B

`x in [-11,7]`

C

`x in (-infty, -7) cup (11,infty)`

D

`x in (-infty, -7)cup [11,infty)`

Text Solution

Verified by Experts

The correct Answer is:
B
Given, `|x+2| le 9`,
`rArr -9 le x +2 le 9 [:'|x|le a rArr -a le x le a]`
`rArr -9 -2 le x le 9-2` [subtracting 2 througout]
`rArr -11 le x le 7`
`rArr x in [ -11,7]`
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