Answer:
its 8
Step-by-step explanation:
The mean or better known as the average is all of the numbers combined and then divided by how many numbers there were. You should be able to find the mean of any set of numbers. There might be a mistake in the calculations some where.
![\huge \boxed{\mathfrak{Question} \downarrow}](https://tex.z-dn.net/?f=%20%5Chuge%20%5Cboxed%7B%5Cmathfrak%7BQuestion%7D%20%5Cdownarrow%7D)
What is the solution to the following inequality?
|4x -81 > 32
- I don't know if you meant, 4x - 81 > 32 OR 14x - 81 > 32. So, I've provided the answers for both.
![\huge \boxed{\mathfrak{Answer} \downarrow}](https://tex.z-dn.net/?f=%20%5Chuge%20%5Cboxed%7B%5Cmathfrak%7BAnswer%7D%20%5Cdownarrow%7D)
<h3><u>1) 4x - 81 > 32</u></h3>
![4x -81 > 32](https://tex.z-dn.net/?f=4x%20-81%20%3E%2032%3C%2Fp%3E%3Cp%3E)
Add 81 to both sides.
![4x>32+81](https://tex.z-dn.net/?f=4x%3E32%2B81%20)
Add 32 and 81 to get 113.
![4x>113](https://tex.z-dn.net/?f=4x%3E113%20)
Divide both sides by 4. As 4 is >0, the inequality direction remains the same.
![\boxed{\boxed{\bf \: x>\frac{113}{4} }}](https://tex.z-dn.net/?f=%20%20%20%5Cboxed%7B%5Cboxed%7B%5Cbf%20%5C%3A%20x%3E%5Cfrac%7B113%7D%7B4%7D%20%7D%7D)
__________________
<h3><u>2) 14x - 81 > 32</u></h3>
![14 x - 81 \gt 32](https://tex.z-dn.net/?f=14%20x%20-%2081%20%5Cgt%2032)
Add 81 to both sides.
![14x>32+81](https://tex.z-dn.net/?f=14x%3E32%2B81%20)
Add 32 and 81 to get 113.
![14x>113](https://tex.z-dn.net/?f=14x%3E113%20)
Divide both sides by 14. As 14 is >0, the inequality direction remains the same.
![\boxed{ \boxed{ \bf \: x>\frac{113}{14} }}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Cboxed%7B%20%5Cbf%20%5C%3A%20x%3E%5Cfrac%7B113%7D%7B14%7D%20%7D%7D)