Question

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

1. **Isolate the variable \(q\)**:
\[
2q \geq 4
\]
Divide both sides by 2:
\[
q \geq 2
\]

So the solution is \(q \geq 2\).

2. **Graph the solution**:
- **Plot the point**: Place a closed dot (or filled circle) on the number line at \(q = 2\) to indicate that 2 is included in the solution set.
- **Draw the ray**: From the point 2, draw a ray that extends to the right (toward larger numbers) to indicate all numbers greater than 2 are included in the solution.

### Graph Summary:
- A closed dot on 2 indicates that it is included (since it’s \( \geq \)).
- A solid line or arrow extending to the right shows that all values greater than 2 are part of the solution.

If you're working with tools to graph the inequality:
- Choose the option to plot a closed endpoint at 2.
- Then choose the arrow option to extend the ray to the right.

This visually represents the solution \(q \geq 2\).