Solve the Polynomial Inequality and Graph the Solution Set on a Number

Multiple Choice

Solve the polynomial inequality and graph the solution set on a number line. Express the solution set in interval
notation.
- $$2 x ^ { 2 } + 5 x - 12 \leq 0$$

A) $\left[ - 4 , \frac { 3 } { 2 } \right]$

B) $( - \infty , - 4 ] \cup \left[ \frac { 3 } { 2 } , \infty \right]$

C) $\left[ - \infty , \frac { 3 } { 2 } \right]$

D) $[ - 4 , \infty )$