Question

Which ordered pairs are soltions to the inequaly -2x+y>=-4 ? Select each correct answer (-1,1) (1,-2) (3,-1) (0,-5) (0,1)

Answer 1

The ordered pairs (-1, 1), (1, -2), and (0, 1) satisfy the inequality -2x + y ≥ -4, while the pairs (3, -1) and (0, -5) do not.

Step-by-step explanation:

To determine which ordered pairs are solutions to the inequality -2x + y ≥ -4, we can plug in the x-value from each ordered pair into the inequality and see if the resulting y-value satisfies the inequality with the given y-value of the ordered pair.

1. For the ordered pair (-1, 1), we check if -2(-1) + 1 ≥ -4. Simplified, 2 + 1 ≥ -4, which is 3 ≥ -4. This is true, so it is a solution.
2. For the ordered pair (1, -2), we check if -2(1) + (-2) ≥ -4. Simplified, -2 - 2 ≥ -4, which is -4 ≥ -4. This is true, so it is a solution.
3. For the ordered pair (3, -1), we check if -2(3) + (-1) ≥ -4. Simplified, -6 - 1 ≥ -4, which is not true, so it is not a solution.
4. For the ordered pair (0, -5), we check if -2(0) + (-5) ≥ -4. Simplified, -5 ≥ -4, which is not true, so it is not a solution.
5. For the ordered pair (0, 1), we check if -2(0) + 1 ≥ -4. Simplified, 1 ≥ -4, which is true, so it is a solution.

Therefore, the ordered pairs (-1, 1), (1, -2), and (0, 1) are solutions to the inequality.