Final answer:
The integer values of n that satisfy the inequality 15 ≤ 4n < 28 are 4, 5, and 6, after dividing the inequality by 4 and considering only integer solutions.
Step-by-step explanation:
To find the integer values of n that satisfy the inequality 15 ≤ 4n < 28, we need to divide the inequality into two parts. First, solve for the lower bound: 15 ≤ 4n. Divide both sides of the inequality by 4, and we get 3.75 ≤ n. So the lower bound is 4. Next, solve for the upper bound: 4n < 28. Divide both sides of the inequality by 4, and we get n < 7. So the upper bound is 6. Therefore, the integer values of n that satisfy the inequality are 4, 5, and 6.