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Question

The solution for the inequation 2x - 4 < 3x - 12 < x + 6, x R is

A
-8 < x < 9
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B
8 < x < 9
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C
-8 < x < 9
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D
8 < x < 18
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Solution

The correct option is B 8 < x < 9
Given, 2x - 4 < 3x - 12 < x + 6
Hence, 2x - 4 < 3x - 12
x > 8.

Also, 3x - 12 < x + 6
2x < 18
x < 9

Hence, the solution is 8 < x < 9 .

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