Asked by evergreen

Solve the inequality and graph the solution.
2(g–1)≥6
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.

Answers

There are no human answers yet.
Answered by GPT-4o mini
To solve the inequality \( 2(g - 1) \geq 6 \), follow these steps:

1. **Distribute the 2**:
\[
2g - 2 \geq 6
\]

2. **Add 2 to both sides**:
\[
2g \geq 8
\]

3. **Divide both sides by 2**:
\[
g \geq 4
\]

So the solution to the inequality is \( g \geq 4 \).

### Graphing the solution:

1. **Endpoints**: The endpoint for \( g = 4 \) is included (since the inequality is greater than or equal to), so we plot this as a closed point at \( g = 4 \).

2. **Ray**: The solution also indicates that all values greater than 4 are part of the solution. We will represent this as a ray extending to the right from the point \( g = 4 \).

### Final Graphic Representation:

- Plot a closed dot at \( g = 4 \) (indicating that 4 is included in the solution).
- Draw a ray extending to the right from this point, representing all values greater than 4.

### Summary of the Graph:
- Closed dot on \( g = 4 \).
- Ray extending to the right (toward infinity).

This completes the solution of the inequality \( 2(g - 1) \geq 6 \).