https://file.aiquickdraw.com/mathbot/file/172850768969972wx4r4c.jpg

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.

Graph the inequality x > -4 on the coordinate plane and identify the region that satisfies the inequality.

Learn how to graph the inequality x > -4 on a coordinate plane. This problem covers concepts related to graphing linear inequalities and properties of inequalities. Understand how to draw the boundary line and shade the correct region to represent the solution.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation