Algebra-1

To solve the inequality |2x + 13| < 15, we can break it down into two cases:

Case 1: 2x + 13 is nonnegative (i.e., 2x + 13 ≥ 0)
In this case, the absolute value |2x + 13| is equal to 2x + 13, so we have:
2x + 13 < 15

Solving this inequality, we get:
2x < 15 - 13
2x < 2
x < 1

Case 2: 2x + 13 is negative (i.e., 2x + 13 < 0)
In this case, the absolute value |2x + 13| is equal to -(2x + 13), so we have:
-(2x + 13) < 15

Multiplying both sides of the inequ...