16Hit1600
AlgebraVery hardGraphical solution: which region

Algebra practice question

In the xy-plane, which point is in the solution set of the system y ≥ x − 1 and y ≤ −2x + 8?

  1. A. (2, 3)Correct
  2. B. (4, 4)
  3. C. (0, 9)
  4. D. (5, 1)

Answer: A. (2, 3)

(2, 3): 3 ≥ 1 ✓ and 3 ≤ 4 ✓.

Why the other answers are wrong

B. (4, 4)
(4, 4): 4 ≤ 0 is false.
C. (0, 9)
(0, 9): 9 ≤ 8 is false.
D. (5, 1)
(5, 1): 1 ≥ 4 is false.

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