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Question

The solution to the inequality |102x|>6 is

A
x<2 and x<8
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B
x<2 and x>8
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C
x>2 and x<8
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D
x<2 or x>8
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Solution

The correct option is D x<2 or x>8
Given inequality is |102x|>6
Simplifying, we get
102x>6 and 102x<6
2x<4 and 16<2x
x<2 and x>8
Therefore the required solution set is
xϵ(,2)(8,).

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