Solve the Given Inequality (A Related Function Is Graphed) $x^{3}-6 x^{2} \leq 31 x-120$

Multiple Choice

Solve the given inequality (a related function is graphed) .
- $x^{3}-6 x^{2} \leq 31 x-120$


$x$ -intercepts: $( - 5,0 ) , ( 3,0 ) , ( 8,0 )$

A) $( - \infty , - 5 ] \cup [ 3 , \infty )$
B) $( - \infty , - 5 ) \cup ( 3 , \infty )$
C) $( - \infty , - 5 ) \cup ( 3,8 )$
D) $( - \infty , - 5 ] \cup [ 3,8 ]$