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Question

If x<2, then 1x lies in the interval

A
(,12)
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B
(,0)(12,)
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C
(,0)(0,12)
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D
(12,)
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Solution

The correct option is B (,0)(12,)
x<2x(,2)
1/x is not defined for x=0
whenever 0 lies in the interval while taking the reciprocal, we break it into two parts such that 0 can be excluded.
1x only defined for (,2){0}=(,0)(0,2)
x(,0)1x(,0)
x(0,2)1x(12,)
1x(,0)(12,)

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