To graph the inequality $x \geq -4$, follow these steps:

1. Draw the boundary line: Since the inequality is $x \geq -4$, the boundary line is vertical at $x = -4$.

   • Solid line: Because the inequality includes $\geq$ (greater than or equal to), the boundary line should be solid.

2. Shade the appropriate region:

   • The inequality $x \geq -4$ means that we are interested in the region where $x$ is greater than or equal to -4.
   • Shade the region to the right of the line, which represents all points where $x$ is greater than or equal to -4.

Now let's break it down on the graph:

• Plot a vertical solid line at $x = -4$.
• Shade the region to the right of this line.

Would you like more details on how to graph inequalities or clarification on any step?

Here are 5 related questions to consider:

1. How do we graph inequalities with $y$ instead of $x$?
2. What does a dotted line represent in inequality graphs?
3. How do you graph the inequality $x < -4$?
4. How would this graph change if the inequality was $x \leq -4$?
5. How can we test points to verify which region to shade?

Tip: Always use a solid line when the inequality includes $\leq$ or $\geq$. Use a dashed line for strict inequalities like $<$ or $>$.