Final answer:
The ordered pairs that satisfy the inequality y < 3x are A. (1,2) and D. (0,-1), as their substitutions into the inequality hold true.
Step-by-step explanation:
To find which ordered pair is a solution to the inequality y < 3x, we substitute the x and y values from each pair into the inequality and see if the inequality holds true.
- A. (1,2): Substituting into the inequality, we get 2 < 3(1), which simplifies to 2 < 3. This is true, so (1,2) is a solution.
- B. (-2,1): Substituting into the inequality, we get 1 < 3(-2), which simplifies to 1 < -6. This is false, so (-2,1) is not a solution.
- C. (4,12): Substituting into the inequality, we get 12 < 3(4), which simplifies to 12 < 12. This is false because the inequality is strictly less than, so (4,12) is not a solution.
- D. (0,-1): Substituting into the inequality, we get -1 < 3(0), which simplifies to -1 < 0. This is true, so (0,-1) is a solution.
Therefore, the ordered pairs that are solutions to the inequality y < 3x are A. (1,2) and D. (0,-1).