Okay the answer is 69 because 81-2 is 69
Answer:
The region where the inequality is valid is (x>-5) and (x<-9).
The graph is attached.
Step-by-step explanation:
We have a inequality and we have to determine the region in the xy-plane that inequality.
![|x+7|-2>0\\\\|x+7|-2+2>0+2\\\\|x+7|>2](https://tex.z-dn.net/?f=%7Cx%2B7%7C-2%3E0%5C%5C%5C%5C%7Cx%2B7%7C-2%2B2%3E0%2B2%5C%5C%5C%5C%7Cx%2B7%7C%3E2)
We divide the inequality in two regions:
1) When (x+7)>0, we have:
![x+7>2\\\\x+7-7>2-7\\\\x>-5](https://tex.z-dn.net/?f=x%2B7%3E2%5C%5C%5C%5Cx%2B7-7%3E2-7%5C%5C%5C%5Cx%3E-5)
2) When (x+7)<0, we have:
![-(x+7)>2\\\\-x-7+7>2+7\\\\-x>9\\\\(-x)(-1)](https://tex.z-dn.net/?f=-%28x%2B7%29%3E2%5C%5C%5C%5C-x-7%2B7%3E2%2B7%5C%5C%5C%5C-x%3E9%5C%5C%5C%5C%28-x%29%28-1%29%3C9%28-1%29%5C%5C%5C%5Cx%3C-9)
Then, the region where the inequality is valid is (x>-5) and (x<-9).
The graph is attached.
Answer:
C IS YOUR ANSER.
Step-by-step explanation: