Final answer:
To solve the compound inequality, subtract 5 from both sides of each inequality and then divide by 7.
Step-by-step explanation:
To solve the compound inequality -58 ≤ 5 + 7n ≤ -44, we need to solve each inequality separately.
1) -58 ≤ 5 + 7n:
Subtract 5 from both sides: -63 ≤ 7n
Divide by 7: -9 ≤ n
2) 5 + 7n ≤ -44:
Subtract 5 from both sides: 7n ≤ -49
Divide by 7: n ≤ -7
Therefore, the solution to the compound inequality is -9 ≤ n ≤ -7.