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The set of all values of ' x ' which sat...

The set of all values of `' x '` which satisfies the inequation `|1-(|x|)/(1+|x|)|geq1/2` is: `[-1,1]` (b) `(-oo,-1)` `(1,oo)` (d) `(0,1)`

A

`[(3)/(2), oo)`

B

`(-oo, -1)uu[(3)/(2), oo)`

C

`(-1, 0)uu[(3)/(2), oo)`

D

`R - {0, -1}`

Text Solution

Verified by Experts

The correct Answer is:
B
The solution set ………….

`sin x-sqrt(5)` is negative
`x^(2)+x+2` is
always positive `x epsilon(-oo, -1)uu[(3)/(2), oo)`
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