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

1. Draw the boundary line: Since the inequality is $x > -4$, the boundary line is $x = -4$. This is a vertical line that passes through $x = -4$ on the x-axis. Since the inequality is strict ($>$ rather than $\geq$), the line should be dotted (not solid).

2. Shade the region: Since $x > -4$, shade the region to the right of the line, where the values of $x$ are greater than $-4$.

Now let's break it down visually:

• Draw a dotted vertical line at $x = -4$.
• Shade the region to the right of this line, which represents all points where $x > -4$.

Do you want a further explanation or have any questions?

Here are 5 questions to deepen your understanding:

1. How would the graph change if the inequality were $x \geq -4$?
2. What happens if you graph $x < -4$ instead of $x > -4$?
3. How do you decide whether the boundary line is solid or dotted in any inequality?
4. Can you describe how you would graph a two-variable inequality like $y > 2x + 1$?
5. How can you use test points to verify which region to shade?

Tip: Always remember to use a test point (like $x = 0$) to confirm which side of the boundary line to shade if you're unsure.