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The graph of 2x - 5y = -5 is shown on the grid. Which ordered pair is in the solution set of 2x - 5y > -5?

8. The graph of 2x - 5y = -5 is shown on the grid. Which ordered pair is in the solution set of 2x - 5y > -5?
A. (5, 3)
B. (-4, 2)
C. (7, -4)
D. (-6, -1)

Answer

Solution: To find which ordered pair is in the solution set of 2x - 5y > -5, substitute each pair into the inequality:

  1. A. (5, 3): 2(5) - 5(3) = 10 - 15 = -5 (Not greater than -5)
  2. B. (-4, 2): 2(-4) - 5(2) = -8 - 10 = -18 (Not greater than -5)
  3. C. (7, -4): 2(7) - 5(-4) = 14 + 20 = 34 (Greater than -5)
  4. D. (-6, -1): 2(-6) - 5(-1) = -12 + 5 = -7 (Not greater than -5)

Answer: C. (7, -4)

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