Final answer:
Integer values of N that satisfy the inequalities -15 > 3N >= 6 after dividing all parts by 3 are {2, 1, 0, -1, -2, -3, -4}.
Step-by-step explanation:
The student is asking to find integer values of N that satisfy the inequalities -15 > 3N ≥ 6. To solve this, we start by dividing all parts of the inequality by 3, the coefficient of N, to isolate N. This will give us -5 > N ≥ 2. Now, to find the integers that satisfy this inequality, we simply list the integers that are less than -5 and greater than or equal to 2.
The solution to the inequality is the set of integers {2, 1, 0, -1, -2, -3, -4}. These are all the integer values of N that satisfy the given inequality.