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To graph the inequality \( y \leq 6 \) on the number line, follow these steps:

1. **Identify the boundary**: The inequality states that \( y \) is less than or equal to 6. Therefore, the boundary point is at 6.

2. **Closed or open circle**: Since the inequality is \( \leq \) (less than or **equal** to), place a **closed circle** on the number line at 6 to show that 6 is included.

3. **Direction of the shading**: Since \( y \leq 6 \), the values of \( y \) are all less than or equal to 6. Shade the portion of the number line to the left of 6, as this represents all numbers less than or equal to 6.

### Final Answer:
- **Closed circle** at 6.
- **Shading** extends to the left, covering all numbers less than or equal to 6.

Would you like a more detailed breakdown of graphing inequalities? Let me know if you have further questions!

Here are five related questions:
1. How would the graph change if the inequality was \( y < 6 \) instead of \( y \leq 6 \)?
2. How do you represent an inequality that uses \( y \geq \) on a number line?
3. What would the graph look like for the inequality \( y \geq -3 \)?
4. How do you solve and graph compound inequalities, like \( 2 < y \leq 5 \)?
5. How can you express an inequality using interval notation?

**Tip**: Always check the inequality symbol—if it's \( \leq \) or \( \geq \), use a closed circle; if it's \( < \) or \( > \), use an open circle.

Graph the inequality y ≤ 6 on the number line.

Learn how to graph the inequality y ≤ 6 on a number line. This problem covers basic concepts of inequalities and their representation on a number line with closed circles and shading. Suitable for students in Grades 6-8.

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