Question

N.5 Graph solutions to one-step inequalities
TMX
Solve the inequality and graph the solution.
m+6≥10
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 \( m + 6 \geq 10 \), follow these steps:

1. **Subtract 6 from both sides** to isolate \( m \):
\[
m + 6 - 6 \geq 10 - 6
\]
This simplifies to:
\[
m \geq 4
\]

2. **Graph the solution**:
- Since the inequality includes \( \geq \), we will use a **closed circle** at \( 4 \) to indicate that \( 4 \) is included in the solution.
- Draw a ray extending to the right from \( 4 \) to indicate all numbers greater than \( 4 \).

### Graph:
- The graph should look like this:

```
<---●======================>
4
```

- The closed circle (●) at 4 signifies that 4 is included in the solution, and the arrow indicates that the solution continues infinitely to the right.

Thus, the final solution is \( m \geq 4 \), and the graph reflects that the values of \( m \) that satisfy the inequality include \( 4 \) and all numbers greater than \( 4 \).