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Question

The total number of integral solution(s) of |4x5|+|6x12|=|2x7| is/are

A
2
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B
1
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C
3
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D
0
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Solution

The correct option is B 1
|4x5|+|6x12|=|2x7|
We know that |ab|=|a|+|b|, then ab0
Here, 2x7=(6x12)(4x5)
So,
(6x12)(4x5)0(x2)(x54)0
x[54,2]
Hence, there is only 1 integer solution i.e x=2

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