|y + 4| < 1

1 answer

To solve the inequality |y + 4| < 1, we can split it into two cases:

Case 1: y + 4 < 1
In this case, solve for y:
y < 1 - 4
y < -3

Case 2: -(y + 4) < 1
In this case, solve for y:
y + 4 > -1
y > -1 - 4
y > -5

Combining the two cases, we have -5 < y < -3.