JEE Advance - Mathematics (1987 - No. 14)
Find the set of all $$x$$ for which $${{2x} \over {\left( {2{x^2} + 5x + 2} \right)}}\, > \,{1 \over {\left( {x + 1} \right)}}$$
$$\left( { - 2,, - 1} \right) \cup \left( {{{ - 2} \over 3},,{{ - 1} \over 2}} \right)$$
$$\left( { - \infty ,, - 2} \right) \cup \left( {{{ - 2} \over 3},,{{ - 1} \over 2}} \right)$$
$$\left( { - 2,, - 1} \right) \cup \left( {{{ - 1} \over 2},, \infty} \right)$$
$$\left( { - \infty ,, - 2} \right) \cup \left( { - 1,,{{ - 1} \over 2}} \right)$$
$$\left( { - 2,, - 1} \right) \cup \left( {{{ - 2} \over 3},, \infty} \right)$$