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Question

If x satisfies |x1|+|x2|+|x3|6, then

A
0x4
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B
x2 or x4
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C
x0 or x4
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D
None of these
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Solution

The correct option is C x0 or x4
Let |x1|+|x2|+|x3|<6
or, |(x1)+(x2)+(x3)|<|x1|+|x2|+|x3|<6
or, |3x6|<6
or, |x2|<2
or, 2<x2<2
or, 0<x<4
Therefore, for |x1|+|x2|+|x3|6, x0 or x4

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