The graph of y=-+1/3+3 is shown on the grid
Which ordered pair is in the solution set of y>-1/3x+3
A (0,3
B(-2,1)
C (-1,5)
D (7,-1_
E Not here
To solve the inequality y > -1/3x + 3, we can test each of the given ordered pairs to see if it satisfies the inequality.
1. For ordered pair (0,3), substituting the values into the inequality, we get 3 > -1/3(0) + 3 => 3 > 3. This is not true, so (0,3) is not in the solution set.
2. For ordered pair (-2,1), substituting the values into the inequality, we get 1 > -1/3(-2) + 3 => 1 > 2 + 3 => 1 > 5. This is not true, so (-2,1) is not in the solution set.
3. For ordered pair (-1,5), substituting the values into the inequality, we get 5 > -1/3(-1) + 3 => 5 > 1/3 + 3 => 5 > 3 1/3. This is true, so (-1,5) is in the solution set.
4. For ordered pair (7,-1), substituting the values into the inequality, we get -1 > -1/3(7) + 3 => -1 > -7/3 + 3 => -1 > -7/3 + 9/3 => -1 > 2/3. This is not true, so (7,-1) is not in the solution set.
Therefore, the ordered pair (-1,5) is the only one in the solution set of y > -1/3x + 3. The correct answer is C (-1,5).