Final answer:
Ordered pairs B. (2, 0), D. (-1, -1), and E. (4, -20) are the solutions to the inequality 4x + y > -6. Pairs are tested by substituting their values into the inequality to check if it holds true.
Step-by-step explanation:
To determine which ordered pairs are solutions to the inequality 4x + y > -6, we need to substitute the x and y values from each pair into the inequality and check whether the inequality holds true.
- For A. (-3, 6), we get 4(-3) + 6 = -12 + 6 = -6, which does not satisfy the inequality since -6 is not greater than -6.
- For B. (2, 0), we get 4(2) + 0 = 8, which satisfies the inequality as 8 is greater than -6.
- For C. (0, -9), we get 4(0) + (-9) = -9, which does not satisfy the inequality since -9 is not greater than -6.
- For D. (-1, -1), we get 4(-1) + (-1) = -5, which satisfies the inequality as -5 is greater than -6.
- For E. (4, -20), we get 4(4) + (-20) = 16 - 20 = -4, which satisfies the inequality as -4 is greater than -6.
Therefore, the ordered pairs that are solutions to the inequality are B. (2, 0), D. (-1, -1), and E. (4, -20).