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 $<$.