Question

N.5 Graph solutions to one-step inequalities
TMX
Solve the inequality and graph the solution.
t+3>5
To draw a ray, plot an endpoint and select an arrow. Select an endpoint to change it from closed to open. Select the middle of the ray to delete it.

Answer 1

To solve the inequality \( t + 3 > 5 \), we can isolate \( t \) by following these steps:

1. Subtract 3 from both sides:
\[
t + 3 - 3 > 5 - 3
\]
This simplifies to:
\[
t > 2
\]

Now that we have the solution \( t > 2 \), we can graph this on a number line.

### Steps to graph the solution \( t > 2 \):

1. **Draw a number line**.
2. **Plot the point 2 on the number line**.
3. **Since 2 is not included in the solution, use an open circle at the point 2**.
4. **Draw a ray extending to the right from the open circle (indicating all numbers greater than 2)**.

The result is a graph showing all numbers greater than 2, represented visually with an open circle at 2 and a solid line extending to the right.

### Summary of the Graph:
- Open circle at 2
- Arrow extending right (toward positive infinity)

This represents the solution set for the inequality \( t > 2 \).