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Question

If |x+2||x4|=3, then the value(s) of x is/are

A
52
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B
72
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C
7
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D
9
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Solution

The correct option is C 7
|x+2||x4|=3
x+2x4=3
(|a||b|=ab)
x+2x4=±3

Case 1:
x+2x4=3
x+2=3(x4)
2x=14
x=7

Case 2:
x+2x4=3
x+2=3(x4)
4x=10
x=52

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