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The solution of `|x+(1)/(x)| gt 2` isA. `R-{0}`B. `R-{-1,0,1}`C. `R-{1}`D. `R-{-1,1}` |
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Answer» Correct Answer - B `(b)` `|x+(1)/(x)|gt 2` (clearly `x ne 0`) `implies|(x^(2)+1)/(x)| gt 2 implies (x^(2)+1)/(|x|) gt 2` (`:.x^(2)+1 gt 0`) `impliesx^(2)+1 gt2|x|` `implies|x|^(2)-2|x|+1 gt 0 implies (|x|-1)^(2) gt 0` `implies |x| ne 1 implies x ne-1,1` `:.xinR-{-1,0,1}` |
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