To solve the inequality, we can consider two cases: when y+4 is positive and when y+4 is negative.
Case 1: y+4 is positive
In this case, the inequality becomes y+4 < 1. Subtracting 4 from both sides gives y < -3.
Case 2: y+4 is negative
In this case, the inequality becomes -(y+4) < 1. Multiplying both sides by -1 flips the inequality direction, giving y+4 > -1. Subtracting 4 from both sides gives y > -5.
Combining the two cases, we have -5 < y < -3.
Therefore, the correct answer is A: -5 < y < -3
|y+4|< 1 (1 point)
A: -5<y< -3
B: -3<y<5
C: -4<y<1
D: 1<y<4
1 answer
1 answer