Solve `(x)/(x-5)gt(1)/(2), " when "x inR`.

1.	Solve `(x)/(x-5)gt(1)/(2), " when "x inR`.
Answer» Correct Answer - `x in (-oo,-5)uu(5,oo)` `(x)/(x-5)-(1)/(2)gt0rArr(2x-x+5)/(2(x-5))gt0rArr(x+5)/(x-5)gt0`. `therefore (x+5lt0 and x-5lt0)or(x+5gt0and x-5gt0)` `rArr(xlt-5 and xlt5)or(xgt-5 and xgt5)` `rArr(xlt-5)or(xlt5)rArrx in(-oo,-5)uu(5,oo)`.

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