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Question

Solve the inequality 3−xx+2 > 1


A

- 2 < x < 0

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B

-2 < x < 3

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C

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D

-1 < x < 3

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Solution

The correct option is C


3−xx+2 > 1

3−xx+2 - 1 > 0

3−x−x−2x+2 > 0

1−2xx+2 > 0

2x−1x+2 < 0

2x - 1 < 0 x + 2 > 0

x < 12 x > -2

Draw the number line for these two inequalities. We get,

Common part -2 < x < 12


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