Question

1.) 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

.) Which one of the following is a solution of the system?
x + y < -3 and x + y > 8

A. (6, 9)
B. (-2, 4)
C. Infnitely Many Solutions
D. No solution

Answer 1

Okay, so these are all (x, y) pairs. What you need to do is plug them in to the two equations and check where they match.

For example, the first ordered pair is (0, 8).

That means:

x = 0
y = 8

With your equations:

y < 3/4 x + 3

8 < 3/4 (0) + 3
8 < 0 + 3
8 < 3

and

y > 3/4 x - 1

8 > 3/4 (0) - 1
8 > 0 - 1
8 > -1

Only one of those is true (8 is not less than 3, though 8 is greater than -1), so this ordered pair is not a solution to the system.

You can do this with the other two ordered pairs to figure out whether those are solutions to the system.

Answer 2

Hope that helps (: for question one though. I think it should work for question two also. Let me check.

Answer 3

1. Is B.
2. Is D

Answer 4

Give me a medal please. Those are the right answers. I believe.

Answer 5

Thank you ! (:

Answer 6

Your welcome! (: