Here is the graph of the inequality $x \geq 1$:

• The solid blue dot at $x = 1$ indicates that 1 is included in the solution.
• The shaded region to the right of 1 represents all the values $x$ that satisfy the inequality $x \geq 1$.

Would you like any further explanations or details?

Here are some related questions:

1. What changes in the graph if the inequality is $x > 1$ instead of $x \geq 1$?
2. How can you graph compound inequalities?
3. How do you interpret the solution $x < 1$ on a number line?
4. What is the difference in graphing between strict and non-strict inequalities?
5. How does graphing change when you have $x \leq$ instead of $x \geq$?
6. Can you graph a solution involving both $x > 1$ and $x < 3$?
7. How do you represent inequalities on a number line without using shading?
8. How does graphing help in understanding inequalities?

Tip: When graphing inequalities, always ensure you use a solid dot for "greater than or equal to" ($\geq$) and an open dot for "greater than" ($>$).