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Question

The number of integral solutions of the inequation log2(x1|1 is

A
4
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B
3
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C
2
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D
5
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Solution

The correct option is A 4
Given that log2(x1|1For log2(x1| to be defined,x10x1 ...[1]log2(x1|10<(x1|21=22x121x3 ...[2]From [1] and [2], we getx=1, 0, 2, 3Therefore, the number of integral solutions is 4.

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