To graph the inequality \( x < 0 \), follow these steps:

1. **Draw the coordinate axes** (x-axis and y-axis).
2. **Shade the region where \( x < 0 \)**: This means shading everything to the left of the y-axis.
3. **Use a dashed line** along the y-axis (where \( x = 0 \)) to indicate that points on this line are *not* included in the solution. Only values strictly less than zero satisfy \( x < 0 \), so the boundary is not part of the solution.

The shaded region, representing \( x < 0 \), includes all points to the left of the y-axis but not on it.

Would you like more details or have any questions about this?

Here are some related questions:
1. How do we graph inequalities involving both \( x \) and \( y \) variables?
2. How would the graph change if the inequality was \( x \leq 0 \)?
3. What does the graph of \( x > 0 \) look like?
4. How can we represent \( x < 0 \) on a number line?
5. How do we graph compound inequalities like \( x < 0 \) and \( y > 0 \)?

**Tip:** For inequalities, always use a dashed line for strict inequalities (e.g., \( < \) or \( > \)) and a solid line for inclusive inequalities (e.g., \( \leq \) or \( \geq \)).

Learn how to graph the inequality x < 0 on the coordinate plane. This guide includes steps to shade the appropriate region and use a dashed line along the y-axis to represent the solution set. Ideal for middle school students learning about graphing inequalities and understanding regions on a coordinate plane.

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