• # question_answer The set of values of $x$ which satisfy $5x+2<3x+8$ and $\frac{x+2}{x-1}<4,$ is [EAMCET 1989] A) $(2,\,3)$ B) $(-\infty ,\,1)\cup (2,\,3)$ C) $(-\infty ,\,1)$ D) $(1,\,3)$

Trick: By inspection, we see that all the values of $x$lying in $(-\infty ,1)\cup (2,3)$ satisfy the equations and no other value outside the interval satisfy it.