Solve the Quadratic Inequality $$( 7 + 4 x ) ^ { 2 } \leq - 1$$

Multiple Choice

Solve the quadratic inequality. Write the solution set in interval notation.
- $$( 7 + 4 x ) ^ { 2 } \leq - 1$$

A) $\varnothing$
B) $( - \infty , \infty )$
C) $( - \infty , - 2 ) \cup \left( - \frac { 3 } { 2 } , \infty \right)$
D) $\left[ - 2 , - \frac { 3 } { 2 } \right]$