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To graph the inequality \( x < -6 \) on the coordinate plane, follow these steps:

1. **Draw the boundary line:**
   - The inequality involves \( x \), which means it's a vertical line.
   - The equation of the boundary line is \( x = -6 \). Draw a **vertical dotted line** through \( x = -6 \) to indicate that points on this line are **not included** in the solution (since the inequality is strictly "<").

2. **Shade the appropriate region:**
   - Since the inequality is \( x < -6 \), you need to shade the region **to the left** of the line \( x = -6 \). This represents all the points where \( x \) is less than -6.

The dotted line indicates that the boundary itself is not included in the solution (as the inequality does not include \( x = -6 \) but only values less than it).

Would you like more details or have any questions?

### Related questions:
1. How would the graph change if the inequality was \( x \leq -6 \)?
2. What does the inequality \( x > -6 \) look like graphically?
3. How can we graph a system of inequalities involving \( x < -6 \) and another inequality?
4. How does the graph of \( x < -6 \) compare to \( y < -6 \)?
5. What is the meaning of shading in inequalities like this one?

**Tip:** Use a **solid line** when the inequality includes "equal to" (like \( \leq \) or \( \geq \)). A **dotted line** is used for strict inequalities (like \( < \) or \( > \)).

Can you guide me how to graph this inequality: x < -6?

Learn how to graph the linear inequality x < -6 on a coordinate plane. This problem involves understanding vertical lines, boundary lines, and shading to represent solutions graphically. Suitable for students in Grades 7-10.

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