Question

Which ordered pair is in the solution set of 0.5x+4y<3?


The graph of 0.5x+4y=3 is shown on the grid.





Which ordered pair is in the solution set of 0.5x+4y<3?


(-2,2)


(6,0)


(1,-1)


(1,2)

Answer 1

To determine which ordered pair is in the solution set of 0.5x + 4y < 3, we can substitute the x and y-values of each ordered pair into the inequality and see if it is true.

For (-2, 2), we have 0.5(-2) + 4(2) < 3. Simplifying, we get -1 + 8 < 3, which is true. Thus, (-2, 2) is in the solution set.

For (6, 0), we have 0.5(6) + 4(0) < 3. Simplifying, we get 3 < 3, which is not true. Thus, (6, 0) is not in the solution set.

For (1, -1), we have 0.5(1) + 4(-1) < 3. Simplifying, we get 0.5 - 4 < 3, which is not true. Thus, (1, -1) is not in the solution set.

For (1, 2), we have 0.5(1) + 4(2) < 3. Simplifying, we get 0.5 + 8 < 3, which is not true. Thus, (1, 2) is not in the solution set.

Therefore, the ordered pair (-2, 2) is in the solution set of 0.5x + 4y < 3.