Question

Which ordered pairs are solutions to the inequality 4x - y > -6?

1) (2, 0)
2) (-3, 6)
3) (0, -9)
4) (4, -20)
5) (-1, -1)

Answer 1

The ordered pairs that satisfy the inequality 4x - y > -6 are (2, 0), (0, -9), (4, -20), and (-1, -1). Each of these pairs, when substituted into the inequality, yields a true statement.

Step-by-step explanation:

To determine which ordered pairs are solutions to the inequality 4x - y > -6, we must substitute the x and y values of each ordered pair into the inequality and check if the inequality holds true.

1. (2, 0): Substitute x = 2 and y = 0 into the inequality. 4(2) - 0 = 8, which is greater than -6. So, this pair is a solution.
2. (-3, 6): Substitute x = -3 and y = 6 into the inequality. 4(-3) - 6 = -12 - 6 = -18, which is not greater than -6. This pair is not a solution.
3. (0, -9): Substitute x = 0 and y = -9 into the inequality. 4(0) - (-9) = 9, which is greater than -6. This pair is a solution.
4. (4, -20): Substitute x = 4 and y = -20 into the inequality. 4(4) - (-20) = 16 + 20 = 36, which is greater than -6. This pair is a solution.
5. (-1, -1): Substitute x = -1 and y = -1 into the inequality. 4(-1) - (-1) = -4 + 1 = -3, which is greater than -6. This pair is a solution.

The ordered pairs that are solutions to the inequality 4x - y > -6 are (2, 0), (0, -9), (4, -20), and (-1, -1).