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

1 answer

In order to determine which ordered pair is a solution set of the inequality y > (-1/3)x + 3, we need to substitute values of x and y into the inequality and see which pair satisfies the inequality.

Let's try the ordered pair (2, 2):

y > (-1/3)x + 3
2 > (-1/3)(2) + 3
2 > (-2/3) + 3
2 > (2/3) + 3
2 > 2 + 3
2 > 5

The inequality is not satisfied, therefore the ordered pair (2, 2) is not a solution set.

Now let's try the ordered pair (-6, -3):

y > (-1/3)x + 3
-3 > (-1/3)(-6) + 3
-3 > (2/3) + 3
-3 > 2 + 3
-3 > 5

Again, the inequality is not satisfied, therefore the ordered pair (-6, -3) is not a solution set.

We can continue checking other ordered pairs, but from the given options, it seems that none of them satisfy the inequality y > (-1/3)x + 3.