which ordered pair is a solution set of y > 1/3x+3

Answer 1

To find the solution set of the inequality y > (1/3)x + 3, we need to find ordered pairs (x, y) that satisfy this inequality.

Let's plug in different values of x to determine the corresponding values of y.

For example, when x = 0:
y > (1/3)(0) + 3
y > 0 + 3
y > 3

This means that any y value greater than 3 is a solution. So, an ordered pair that satisfies this would be (0, 4), where y = 4 is greater than 3.

Similarly, we can check for other x values and find the corresponding y values that satisfy the inequality.

For example, when x = 6:
y > (1/3)(6) + 3
y > 2 + 3
y > 5

This means that any y value greater than 5 is a solution. So, an ordered pair that satisfies this would be (6, 6), where y = 6 is greater than 5.

Therefore, possible solution sets for the inequality y > (1/3)x + 3 are: {(0, 4), (6, 6), (7, 7), (8, 8), ...}