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Question

If S= {xN:2+log2x+1>1log1/24x2}, then

A
S=1
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B
S=Z
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C
S=N
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D
none of these
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Solution

The correct option is C S=N
2+log2x+1>1log1/24x21+log2x+1>log24x2log22+log2x+1>log24x2log2(4(x+1))>log24x24x+4>4x2x2+4x>0x>0xNS=N


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