Verified answer

Question:

Which of the following ordered pairs are the solution of the inequality x + 3y ≥ 4?

Proving:

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A. (-1, -3)

• -1 + 3(-3) ≥ 4
• -1 - 9 ≥ 4
• -10 ≥ 4

Is -10 greater than 4? No, it's not. ❌

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B. (2, -5)

• 2 + 3(-5) ≥ 4
• 2 - 15 ≥ 4
• -13 ≥ 4

Is -13 greater than 4? No, it's not. ❌

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C. (0, 0)

• 0 + 3(0) ≥ 4
• 0 + 0 ≥ 4
• 0 ≥ 4

Is 0 greater than 4? No, it's not. ❌

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D. (3, 3)

• 3 + 3(3) ≥ 4
• 3 + 9 ≥ 4
• 12 ≥ 4

Is 12 greater than 4? Yes, it is. ✔

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• D. (3, 3)