Final answer:
After substituting each ordered pair into the inequality 2x - y > -4, it is determined that pairs A (1, -5), B (0, -3), and D (-3, -8) satisfy the inequality while C (-2, 0) does not.
Step-by-step explanation:
To determine which ordered pairs are solutions to the inequality 2x - y > -4, we need to substitute each pair into the inequality and check whether it holds true.
- For option A (1, -5), the inequality becomes 2(1) - (-5) > -4, which simplifies to 2 + 5 > -4, meaning 7 > -4, which is true.
- For option B (0, -3), the inequality becomes 2(0) - (-3) > -4, which simplifies to 0 + 3 > -4, meaning 3 > -4, which is also true.
- For option C (-2, 0), the inequality becomes 2(-2) - 0 > -4, which simplifies to -4 - 0 > -4, meaning -4 > -4, which is not true.
- For option D (-3, -8), the inequality becomes 2(-3) - (-8) > -4, which simplifies to -6 + 8 > -4, meaning 2 > -4, which is true.
Therefore, the ordered pairs that are solutions to the inequality are A, B, and D.