AlgebraVery hardSystem of inequalities: describing the solution region
Algebra practice question
Which of the following points satisfies the system y ≤ x + 1 and y ≥ −x + 3 and x ≤ 4?
- A. (3, 2)Correct
- B. (1, 3)
- C. (5, 1)
- D. (0, 0)
Answer: A. (3, 2)
(3, 2): 2 ≤ 4 ✓, 2 ≥ 0 ✓, 3 ≤ 4 ✓.
Why the other answers are wrong
- B. (1, 3)
- (1, 3): 3 ≤ 2 is false.
- C. (5, 1)
- (5, 1): 5 ≤ 4 is false.
- D. (0, 0)
- (0, 0): 0 ≥ 3 is false.
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