olve for y.

Question

5≤y+20<16
Write your answer as a compound inequality with integers.

Answer 1

To solve the compound inequality \( 5 \leq y + 20 < 16 \), we can break it down into two parts.

1. Solve the left part: \[ 5 \leq y + 20 \] Subtract 20 from both sides: \[ 5 - 20 \leq y \] \[ -15 \leq y \] This can also be written as: \[ y \geq -15 \]

2. Solve the right part: \[ y + 20 < 16 \] Subtract 20 from both sides: \[ y < 16 - 20 \] \[ y < -4 \]

Now we can combine the inequalities: \[ -15 \leq y < -4 \]

Thus, the final answer as a compound inequality is: \[ -15 \leq y < -4 \]