Question

The lines y = -x + 1 and y = 3x + 4 are shown on the grid. Which ordered pair is in the system of inequalities?

A. (0, 0)
B. (-3, 2)
C. (0, 2)

Answer 1

The ordered pair (0, 2) is in the system of inequalities.

Step-by-step explanation:

The given lines are y = -x + 1 and y = 3x + 4. To find the ordered pair that is in the system of inequalities, we need to check if the ordered pair satisfies both lines. Let's check each option:

A. (0, 0): Substitute x = 0 and y = 0 in both equations:
For y = -x + 1, 0 = -0 + 1 which is false.
For y = 3x + 4, 0 = 3(0) + 4 which is true.

B. (-3, 2): Substitute x = -3 and y = 2 in both equations:
For y = -x + 1, 2 = -(-3) + 1 which is true.
For y = 3x + 4, 2 = 3(-3) + 4 which is false.

C. (0, 2): Substitute x = 0 and y = 2 in both equations:
For y = -x + 1, 2 = -0 + 1 which is true.
For y = 3x + 4, 2 = 3(0) + 4 which is true.

Hence, the ordered pair (0, 2) is in the system of inequalities.