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Question

If |4x5|+|6x12|=|2x7|, then x belongs to

A
[54,2]
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B
(,2]
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C
(2,)
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D
(1,3]
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Solution

The correct option is A [54,2]
|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]

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