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Complete solution set of the inequality ...

Complete solution set of the inequality `|x^(2)-x-2|+|x+1|le0` is

A

`(-oo, -1)`

B

`(-1,0)`

C

`{-1, 0}`

D

`{-1}`

Text Solution

Verified by Experts

The correct Answer is:
D
Complete solution …………..
`|x^(2)-x-2|+|x+1|le0`
`implies |x^(2)-x-2|+|x+1|=0`
It is possible only when
`x^(2)-x-2=0` and `x+1=0`
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