Final answer:
The ordered pair (-1, 1) is the solution of the inequality 2x - 4y < 6.
Step-by-step explanation:
To determine which ordered pair is a solution of the inequality 2x - 4y < 6, we can substitute the x and y values of each pair into the inequality and see which pair satisfies the inequality. Let's check each pair:
a. (2, -2):
2(2) - 4(-2) = 4 + 8 = 12
Since 12 is not less than 6, (2, -2) is not a solution.
b. (3, -1):
2(3) - 4(-1) = 6 + 4 = 10
Since 10 is not less than 6, (3, -1) is not a solution.
c. (0, -2):
2(0) - 4(-2) = 0 + 8 = 8
Since 8 is not less than 6, (0, -2) is not a solution.
d. (-1, 1):
2(-1) - 4(1) = -2 - 4 = -6
Since -6 is less than 6, (-1, 1) is a solution.
Therefore, the ordered pair (d) (-1, 1) is the solution of the inequality.