Final answer:
The ordered pair (-2, -2) is in the solution set of the equation 0.5z - 2y = 3. Therefore, the ordered pair (-2, -2) is in the solution set of the equation 0.5z - 2y = 3. Therefore, the correct option D.
Step-by-step explanation:
To determine which ordered pair is in the solution set of the equation 0.5z - 2y = 3, we can substitute the values of the ordered pairs into the equation and check if the equation is satisfied.
Let's check each option:
A. (3,1): Substituting z = 3 and y = 1 into the equation, we get:
0.5(3) - 2(1) = 1.5 - 2 = -0.5 ≠ 3
B. (-2,1): Substituting z = -2 and y = 1 into the equation, we get:
0.5(-2) - 2(1) = -1 - 2 = -3 ≠ 3
C. (-2,-1): Substituting z = -2 and y = -1 into the equation, we get:
0.5(-2) - 2(-1) = -1 - (-2) = 1 ≠ 3
D. (-2,-2): Substituting z = -2 and y = -2 into the equation, we get:
0.5(-2) - 2(-2) = -1 + 4 = 3 (Satisfied)
Therefore, the ordered pair (-2, -2) is in the solution set of the equation 0.5z - 2y = 3. Therefore, the correct option D.