Which ordered pair is the solution set of y>-1/3x+3

Question

A. (0,3)
B. (-2,1)
C. (-1,5)
D. (7,-1)
E. Not Here

Answer 1

To find the solution set of the inequality y > -1/3x + 3, we need to determine which ordered pairs make the inequality true.

Let's check the ordered pairs one by one:

A. (0,3)
Plugging in the values, we get y > (-1/3)(0) + 3, which simplifies to y > 3. Since 3 is not greater than 3, this ordered pair does not satisfy the inequality.

B. (-2,1)
Using the same process, we get y > (-1/3)(-2) + 3, which simplifies to y > 4/3 + 3, or y > 13/3. Since 1 is not greater than 13/3, this ordered pair does not satisfy the inequality.

C. (-1,5)
Again, we get y > (-1/3)(-1) + 3, which simplifies to y > 1/3 + 3, or y > 10/3. Since 5 is greater than 10/3, this ordered pair satisfies the inequality.

D. (7,-1)
Using the same process, we get y > (-1/3)(7) + 3, which simplifies to y > -10/3 + 3, or y > 19/3. Since -1 is not greater than 19/3, this ordered pair does not satisfy the inequality.

None of the given ordered pairs satisfy the inequality, so the solution set is not here. The correct answer is E. Not Here.