Solve the inequality. Write the solution set in interval notation.
-$$( x + 5 ) ( x + 4 ) ( x + 1 ) 0$$
A) $( - \infty , - 5 ) \cup ( - 4 , - 1 )$
B) $( - 5 , - 4 ) \cup ( - 1 , \infty )$
C) $( - 1 , \infty )$
D) $( - \infty , - 4 )$

Question

Solve the inequality. Write the solution set in interval notation.
-$$( x + 5 ) ( x + 4 ) ( x + 1 ) > 0$$
A) $( - \infty , - 5 ) \cup ( - 4 , - 1 )$
B) $( - 5 , - 4 ) \cup ( - 1 , \infty )$
C) $( - 1 , \infty )$
D) $( - \infty , - 4 )$

Quizplus · Accepted Answer

The solution involves finding the roots of the inequality, which are -5, -4, and -1. The sign of the expression changes at each root. Testing intervals between the roots shows that the expression is positive in the intervals $(-5, -4)$ and $(-1, \infty)$.

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