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

1. **Draw the boundary line:** Since the inequality is \( x < -6 \), the boundary line will be a vertical line at \( x = -6 \). Because the inequality is strictly less than (not less than or equal to), use a dashed line to indicate that points on the line itself are not included in the solution.

2. **Shade the region:** The inequality \( x < -6 \) means all the points to the left of the line satisfy the inequality. Therefore, shade the region to the left of the dashed line.

The graph should show a dashed vertical line at \( x = -6 \) with the left side shaded to indicate the solution region.

Would you like more details or have any questions? Here are five related questions to expand your understanding:

1. How would the graph change if the inequality was \( x \leq -6 \)?
2. What would the graph look like if the inequality were \( x > -6 \)?
3. How do you graph a horizontal inequality, such as \( y < 4 \)?
4. Why is it important to use a dashed line for strict inequalities?
5. Can you graph inequalities with both \( x \) and \( y \), like \( y < 2x + 3 \)?

**Tip:** Always remember to use a solid line for "less than or equal to" ( \( \leq \) or \( \geq \) ) and a dashed line for "less than" or "greater than" ( \( < \) or \( > \) ).

Graph the inequality x < -6 in the coordinate plane.

Learn how to graph the linear inequality x < -6 on the coordinate plane. This tutorial covers key concepts such as using dashed lines for strict inequalities and shading regions to represent solutions, suitable for students in Grades 6-8.

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