Solve the problem.
-$$( a + 4 ) ( a - 4 ) ( a - 5 ) 0$$
A) $( - \infty , 4 )$
B) $( 5 , \infty )$
C) $( - \infty , - 4 )$ or $( 4,5 )$
D) $( - 4,4 )$ or $( 5 , \infty )$

Question

Solve the problem.
-$$( a + 4 ) ( a - 4 ) ( a - 5 ) > 0$$
A) $( - \infty , 4 )$
B) $( 5 , \infty )$
C) $( - \infty , - 4 )$ or $( 4,5 )$
D) $( - 4,4 )$ or $( 5 , \infty )$

Quizplus · Accepted Answer

The given inequality can be solved by finding the roots and testing intervals. The roots are $a = -4$, $a = 4$, and $a = 5$. Plotting these on a number line and testing values in each interval against the inequality, we find that the solution set is $(-4,4)$ and $(5, \infty)$.

Solve the Problem (a+4)(a−4)(a−5)>0( a + 4 ) ( a - 4 ) ( a - 5 ) > 0(a+4)(a−4)(a−5)>0

Solve the Problem $( a + 4 ) ( a - 4 ) ( a - 5 ) > 0$