Final answer:
The only ordered pair that is a solution set for the inequality y ≥ ½x + 4 is (4, 2), since when these values are substituted, the inequality holds true. The correct option is 4.
Step-by-step explanation:
To determine which ordered pair is a solution set for y ≥ ½x + 4, we need to check which pair, when substituted into the inequality, makes the inequality true.
- For the ordered pair (-2, 0), substituting -2 for x and 0 for y gives us 0 ≥ (½)(-2) + 4, which simplifies to 0 ≥ -1 + 4. This is false because 0 is not greater than or equal to 3.
- For the ordered pair (0, 2), substituting 0 for x and 2 for y gives us 2 ≥ (½)(0) + 4, which simplifies to 2 ≥ 4. This is false because 2 is not greater than or equal to 4.
- For the ordered pair (2, 0), substituting 2 for x and 0 for y gives us 0 ≥ (½)(2) + 4, which simplifies to 0 ≥ 1 + 4. This is false because 0 is not greater than or equal to 5.
- For the ordered pair (4, 2), substituting 4 for x and 2 for y gives us 2 ≥ (½)(4) + 4, which simplifies to 2 ≥ 2 + 4. This is true because 2 is equal to 2 and also less than 6.
Therefore, the only ordered pair that is a solution set for the inequality is (4, 2).