Final answer:
The values of n that satisfy the inequality -15 < 3n ≤ 6 are -4, -3, -2, -1, 0, 1, and 2.
Step-by-step explanation:
We are given the inequality -15 < 3n ≤ 6. To solve this inequality, we need to divide all sides by 3 to isolate n.
By dividing by 3, we obtain -5 < n ≤ 2. Therefore, the values of n that satisfy the inequality are -4, -3, -2, -1, 0, 1, and 2.