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Which of the following is equivalent to ...

Which of the following is equivalent to `3x^(2)-x lt 2`?

A

`-(3)/(2) lt x lt 1`

B

`-1 lt x lt (2)/(3)`

C

` -(2)/(3) lt x lt 1`

D

`-1 lt x lt (3)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
`3x^(2)-x-2=(3x+2)(x-1)=0` when `x=-(2)/(3)` or 1. numbers between these satisfy the original inequality.
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