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Question

All real values of x which satisfy x23x+2>0 and x23x40 lie in the interval

A
[1,1)(2,4]
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B
[3,6]
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C
(5,0)
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D
[1,6]
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Solution

The correct option is A [1,1)(2,4]
x23x+2>0 and x23x40
x23x+2>0(x1)(x2)>0x(,1)(2,)(1)
x23x40(x+1)(x4)0x[1,4](2)
From (1) and (2),
x[1,1)(2,4]

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