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The solution set of the inequation |(1)/...

The solution set of the inequation `|(1)/(x)-2| lt 4`, is

A

`(-oo,-1//2)`

B

`(1//6,oo)`

C

`(-1//2,1//6)`

D

`(-oo,-1//2) uu (1//6,oo)`

Text Solution

Verified by Experts

The correct Answer is:
D
`(d)` `|(1)/(x)-2| lt 4 hArr-4 lt (1)/(x)-2 lt 4 hArr -2 lt (1)/(x) lt 6`
Hence `x in (-oo,-(1)/(2))uu((1)/(6),oo)`
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