Question

solve for x and graph the solution.
-(x + 2)(x + 6) > 0
plot the endpoints. select an endpoint to change it from a segment, ray, or line to delete it.

Explanation:

Step1: Multiply both sides by -1

Reverse the inequality sign. We get $(x + 2)(x + 6)<0$.

Step2: Find the roots

Set $(x + 2)(x + 6)=0$. Using the zero - product property, $x+2 = 0$ gives $x=-2$ and $x + 6=0$ gives $x=-6$.

Step3: Test intervals

We have three intervals to test: $x<-6$, $-6-2$.
For $x<-6$, let $x=-7$. Then $(-7 + 2)(-7+6)=(-5)\times(-1) = 5>0$.
For $-6For $x>-2$, let $x=0$. Then $(0 + 2)(0 + 6)=2\times6 = 12>0$.

Answer:

The solution of the inequality is $-6