**Determine which ordered pairs are part of the solution set for each inequality.**

*y*  2*x*, {(2, 6), (0, 1), (3, 5), (1, 2)}

To determine which ordered pairs are part of the solution set for the inequality \( y \geq 2x \), we will check each ordered pair given in the set \(\{(2, 6), (0, -1), (3, 5), (-1, -2)\}\).

Let's evaluate each pair \((x, y)\):

1. **For \( (2, 6) \):**
   \[
   y = 6 \quad \text{and} \quad 2x = 2(2) = 4
   \]
   \( y \geq 2x \) becomes \( 6 \geq 4 \), which is true.

2. **For \( (0, -1) \):**
   \[
   y = -1 \quad \text{and} \quad 2x = 2(0) = 0
   \]
   \( y \geq 2x \) becomes \( -1 \geq 0 \), which is false.

3. **For \( (3, 5) \):**
   \[
   y = 5 \quad \text{and} \quad 2x = 2(3) = 6
   \]
   \( y \geq 2x \) becomes \( 5 \geq 6 \), which is false.

4. **For \( (-1, -2) \):**
   \[
   y = -2 \quad \text{and} \quad 2x = 2(-1) = -2
   \]
   \( y \geq 2x \) becomes \( -2 \geq -2 \), which is true.

### Solution:
The ordered pairs that satisfy the inequality \( y \geq 2x \) are:
\[
\{(2, 6), (-1, -2)\}
\]

Would you like more details or have any questions?

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1. How do you graph the inequality \( y \geq 2x \)?
2. What is the significance of the equality condition \( y = 2x \)?
3. How can you test a point to see if it satisfies an inequality?
4. What changes if the inequality is \( y > 2x \) instead of \( y \geq 2x \)?
5. How would the solution set change if the inequality were \( y \leq 2x \)?

**Tip:** To verify which side of the boundary line is part of the solution set, pick a test point that is not on the boundary and check if it satisfies the inequality.

Learn how to determine which ordered pairs satisfy the inequality y >= 2x with detailed examples. This problem involves graphing inequalities and testing ordered pairs against the inequality condition. Suitable for students in Grades 7-9.

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