Find the Solution Set for the Nonlinear Inequality $\frac { 1 } { x - 3 } - \frac { 2 } { x - 2 } > 0$

Multiple Choice

Find the solution set for the nonlinear inequality $\frac { 1 } { x - 3 } - \frac { 2 } { x - 2 } > 0$ .

A) $( - \infty , - 3 ) \cup ( 2,4 )$
B) $( - \infty , 2 ] \cup [ 3,4 ]$
C) $( 2,3 )$
D) $( - \infty , 2 )$
E) $( - \infty , 2 ) \cup ( 3,4 )$