1. The problem asks us to determine which ordered pair satisfies the inequality $$6x - 2y > 12$$. 2. To check if an ordered pair $(x, y)$ is a solution, substitute the values of $x$ and $y$ into the inequality and see if it holds true. 3. Test each ordered pair: - For $(2, 6)$: $$6(2) - 2(6) = 12 - 12 = 0$$ Check if $$0 > 12$$, which is false. - For $(4, 6)$: $$6(4) - 2(6) = 24 - 12 = 12$$ Check if $$12 > 12$$, which is false (12 is not greater than 12). - For $(-3, 10)$: $$6(-3) - 2(10) = -18 - 20 = -38$$ Check if $$-38 > 12$$, which is false. - For $(10, -12)$: $$6(10) - 2(-12) = 60 + 24 = 84$$ Check if $$84 > 12$$, which is true. 4. Therefore, the ordered pair $(10, -12)$ satisfies the inequality. Final answer: $(10, -12)$