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The solution set of the inequation |x+1|...

The solution set of the inequation `|x+1| lt x+2` is ______.

A

`x gt -1`

B

`x gt (-5)/(2)`

C

`x gt (-7)/(4)`

D

`x gt (-3)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
(i) If `|x| le a` , then `-a le x le a`.
(ii) Use `|x| lt a rArr - alt x lt a ` and solve for x.
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