Decide What Values of the Variable Cannot Possibly Be Solutions $$\sqrt [ 3 ] { 3 x + 7 } = - 1$$

Multiple Choice

Decide what values of the variable cannot possibly be solutions for the equation.
- $$\sqrt [ 3 ] { 3 x + 7 } = - 1$$

A) $\left\{ \frac { 8 } { 3 } \right\}$
B) $\left\{ - \frac { 8 } { 3 } \right\}$
C) $\{ - 2 \}$
D) $\{ - 8 \}$