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Graph each inequality  on a separate  number line

It looks like you've uploaded an image with a mathematical expression that seems to be part of a graphing inequalities problem. The expression appears to be:

\[
x - 5 \geq 5
\]

Let’s solve and graph this inequality step by step:

### 1. Solve the Inequality:
We will isolate \( x \) in the inequality \( x - 5 \geq 5 \).

1. Add 5 to both sides:
\[
x - 5 + 5 \geq 5 + 5
\]
\[
x \geq 10
\]

So, the solution is \( x \geq 10 \).

### 2. Graph on a Number Line:
- Draw a number line.
- Put a closed dot (●) at 10, because the inequality includes 10 (\( x \geq 10 \)).
- Shade the number line to the right of 10, since we are looking for values of \( x \) that are greater than or equal to 10.

If you would like me to generate a visual number line graph for this inequality, let me know!

Would you like further details on the graphing process, or do you have any questions?

Here are 5 related questions for further practice:
1. What changes in the graph if the inequality was \( x > 10 \) instead of \( x \geq 10 \)?
2. How do you graph \( x \leq 8 \) on a number line?
3. What would the solution be for \( x + 3 \leq 12 \)?
4. How do you solve and graph \( 2x - 7 < 9 \)?
5. How do you handle graphing inequalities with a negative coefficient, like \( -3x \leq 6 \)?

**Tip:** When graphing inequalities, a closed dot is used for inequalities with "greater than or equal to" (≥) or "less than or equal to" (≤), while an open dot is used for strict inequalities like \( > \) or \( < \).

Graph each inequality on a separate number line

Learn how to graph the inequality x - 5 ≥ 5 on a number line, including detailed steps for solving the inequality and graphing the solution. Suitable for students in Grades 7-9.

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