Question

olve for y.
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:
\[
-15 \leq y < -4
\]