Solve the inequality. Write the solution set in interval notation.
-$$( x + 7 ) ( x - 1 ) ( x - 4 )

Question

Solve the inequality. Write the solution set in interval notation.
-$$( x + 7 ) ( x - 1 ) ( x - 4 ) < 0$$
A) $( - \infty , - 7 ) \cup ( 1,4 )$
B) $( - 7,1 ) \cup ( 4 , \infty )$
C) $( - \infty , 1 )$
D) $( 4 , \infty )$

Quizplus · Accepted Answer

The roots of the inequality are -7, 1, and 4. Plotting these on a number line and testing intervals between and beyond these points, we find that the product is negative in the intervals $(- \infty , - 7 )$ and $( 1,4 )$, hence the solution is $( - \infty , - 7 ) \cup ( 1,4 )$.

Solve the Inequality (x+7)(x−1)(x−4)<0( x + 7 ) ( x - 1 ) ( x - 4 ) < 0(x+7)(x−1)(x−4)<0

Solve the Inequality $( x + 7 ) ( x - 1 ) ( x - 4 ) < 0$