Question

Which of the following ordered pairs is included in the solution set of the system?

y < 3/4 x + 3 and y > 3/4 x - 1
A. (0, 8)
B. (3, 4)
C. (9, 1)
D. No Solution

Answer 1

For (0, 8): 8 is not less than 3/4(0) + 3 = 0 + 3 = 3
For (3, 4): 4 < 3/4(3) + 3 = 9/4 + 3 = 2.25 + 3 = 5.25 and 4 > 3/4(3) - 1 = 9/4 - 1 = 2.25 - 1 = 1.25

Therefore, (3, 4) is included in the solution set of the system.