16Hit1600
AlgebraVery hardPoint strictly inside a region

Algebra practice question

Which ordered pair (x, y) satisfies BOTH y < 3x − 2 and x + y ≤ 6?

  1. A. (2, 3)Correct
  2. B. (1, 1)
  3. C. (4, 3)
  4. D. (3, 7)

Answer: A. (2, 3)

(2, 3): 3 < 4 ✓ and 5 ≤ 6 ✓.

Why the other answers are wrong

B. (1, 1)
(1, 1): 1 < 1 is false — the point lies on the strict boundary.
C. (4, 3)
(4, 3): 7 ≤ 6 is false.
D. (3, 7)
(3, 7): 7 < 7 is false, and 10 ≤ 6 is false.

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