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Question

The number of positive integral solutions of the inequality x2(3x4)3(x2)4(x5)5(2x7)60 is:

A
2
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B
0
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C
3
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D
4
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Solution

The correct option is C 3
Given, x2(3x4)3(x2)4(x5)5(2x7)60

3x42x70 and x=0,2,7/2

43x<5 and x=0,2,7/2

Hence, number of integral solution is {0,2,3,4}=4

And number of positive integral solution are 2,3,4

Thus the number of integral solutions are 3

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