Answer: n > 14
Explanation:
To solve the inequality 2(n+8) < 4n-12, we can start by simplifying both sides of the inequality.
First, distribute the 2 on the left side:
2n + 16 < 4n - 12
Next, let's isolate the variable terms on one side and the constant terms on the other side. We can do this by subtracting 2n from both sides:
16 < 2n - 12
Now, let's add 12 to both sides:
28 < 2n
Finally, divide both sides by 2 to solve for n:
14 < n
So, the solution to the inequality is n > 14.