Question

N.5 Graph solutions to one-step inequalities
TMX
Solve the inequality and graph the solution.
p
2
>4
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 \( p + 2 > 4 \), follow these steps:

### Step 1: Solve the Inequality

1. **Subtract 2 from both sides**:
\[
p + 2 - 2 > 4 - 2
\]
\[
p > 2
\]

### Step 2: Graph the Solution

1. **Identify the solution**: The solution \( p > 2 \) means that \( p \) can take any value greater than 2.

2. **Draw the graph**:
- Start by plotting an open circle on 2 (it’s open because 2 is not included in the solution).
- Draw a ray extending to the right from the open circle to indicate all values greater than 2.

### Final Representation

On a number line, it looks like this:

```
<---|----|-----|-----|----|----|----|----|--->
0 1 2 3 4 5 6 7
( )
--->
```

Here, the open circle at 2 indicates that 2 is not included in the solution set, and the arrow extending to the right shows that all numbers greater than 2 are included in the solution.