Algebra-1

To solve the inequality |10 + 4x| < 14, we can break it down into two cases:

Case 1: 10 + 4x is nonnegative (i.e., 10 + 4x ≥ 0)
In this case, the absolute value |10 + 4x| is equal to 10 + 4x, so we have:
10 + 4x < 14

Solving this inequality, we get:
4x < 14 - 10
4x < 4
x < 1

Case 2: 10 + 4x is negative (i.e., 10 + 4x < 0)
In this case, the absolute value |10 + 4x| is equal to -(10 + 4x), so we have:
-(10 + 4x) < 14

Multiplying both sides of the i...