Solve the Inequality $\frac { 1 } { x - 3 } \geq \frac { 5 } { x + 6 }$

Multiple Choice

Solve the inequality. $\frac { 1 } { x - 3 } \geq \frac { 5 } { x + 6 }$

A) $( - \infty , - 6 ) \cup ( 3 , \infty ]$
B) $( - 6,3 )$
C) $( - 6,3 ) \cup \left[ \frac { 21 } { 4 } , \infty \right)$
D) $( - \infty , - 6 ) \cup \left( 3 , \frac { 21 } { 4 } \right]$
E) $( - \infty , - 6 ) \cup ( - 6,3 ) \cup \left[ \frac { 21 } { 4 } , \infty \right)$