Algebra-1

To solve the inequality -5|4 + n| < -15, we can follow these steps:

Step 1: Divide both sides of the inequality by -5 (since -5 is negative, we need to flip the inequality sign):
|4 + n| > -15/-5
|4 + n| > 3

Now, we have two cases to consider:

Case 1: 4 + n ≥ 0
If 4 + n ≥ 0, we can remove the absolute value symbols without changing the inequality:

4 + n > 3

Now, solve for n:
n > 3 - 4
n > -1

Case 2: 4 + n < 0
If 4 + n < 0, ...