AlgebraHardPoint in the solution set of a system of inequalities
Algebra practice question
Which of the following points is a solution to the system y > x − 2 and y ≤ −x + 6 in the xy-plane?
- A. (1, 3)Correct
- B. (5, 4)
- C. (0, −3)
- D. (4, 3)
Answer: A. (1, 3)
Check (1, 3): 3 > −1 ✓ and 3 ≤ 5 ✓.
Why the other answers are wrong
- B. (5, 4)
- (5, 4): 4 ≤ 1 fails.
- C. (0, −3)
- (0, −3): −3 > −2 fails.
- D. (4, 3)
- (4, 3): 3 ≤ 2 fails.
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