Question

Solve the inequality and graph the solution.
t+2
–
1
≥1
Plot the endpoints. Select an endpoint to change it from closed to open. Select the middle of the segment, ray, or line to delete it.

Answer 1

To solve the inequality:

\[
\frac{t + 2}{1} \geq 1
\]

We first simplify this to:

\[
t + 2 \geq 1
\]

Next, we subtract 2 from both sides:

\[
t \geq 1 - 2
\]
\[
t \geq -1
\]

Now we have our solution: \( t \geq -1 \).

### Graphing the Solution
To graph \( t \geq -1 \):

1. **Plot the endpoint**: The endpoint is \( -1 \). Since the inequality is \( \geq \), we will use a closed circle at \( -1 \) to indicate that this point is included in the solution set.

2. **Draw the ray**: Since the inequality indicates that \( t \) can be greater than or equal to \( -1 \), we will draw a solid line (or ray) extending to the right from \( -1 \) towards positive infinity.

Here is how the graph looks:

- **Closed circle** at \( -1 \) (indicating it is included).
- **Ray** extending to the right.

**Final Answer:**
- The solution to the inequality is \( t \geq -1 \).
- The graph includes a closed circle at \( -1 \) and a ray extending to the right, representing \( t \) values greater than or equal to \( -1 \).