ICSE Class X Math 2014 Solved Paper

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Question : 2
Total: 52
Find the value of x, which satisfy the inequation 2
5
6
<
1
2
2x
3
2
,xW
. Graph the solution set on the number line.
Solution:  
Given: 2
5
6
<
1
2
2x
3
2

17
6
<
34x
6
2

Multiplying throughout by 6
17<34x12
17<34x and 34x12
4x<3+17 and 3124x
4x<20 and 94x
x<5 and
9
4
<x

{5>x
9
4
}

Hence, the solution set is
{x:xW,
9
4
x<5
}

Values of x are {0,1,2,3,4}
The graph of the solution set is shown by dots on the number line.
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