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Question

The number of integral solution of the inequality 6<2x535 and 8x7<5 is

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Solution

The inequality
6<2x535
18<2x515
13<2x20
132<x10 ...(1)

and
8x7<5
8x7<5
1x<12 ...(2)
From (1) and (2)
1x10
So, integral values are {1,0,1,...,9,10}

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