Solve the Inequality $( 7 x - 1 ) ^ { 7 } ( 7 x - 3 ) ^ { 9 } ( 7 x - 6 ) > 0$

Multiple Choice

Solve the inequality. Express your answer in interval form. $( 7 x - 1 ) ^ { 7 } ( 7 x - 3 ) ^ { 9 } ( 7 x - 6 ) > 0$

A) $\left( \frac { 1 } { 7 } , \frac { 3 } { 7 } \right) \cup \left( \frac { 6 } { 7 } , \infty \right)$
B) $\left( \frac { 6 } { 7 } , \infty \right)$
C) $\left( - \frac { 3 } { 7 } , - \frac { 1 } { 7 } \right) \cup \left( \frac { 6 } { 7 } , \infty \right)$
D) $\left( - \infty , - \frac { 1 } { 7 } \right) \cup \left( \frac { 1 } { 7 } , \frac { 3 } { 7 } \right) \cup \left( \frac { 6 } { 7 } , \infty \right)$
E) no solution