AlgebraVery hardWhich point satisfies a system of two inequalities with a strict boundary
Algebra practice question
Which ordered pair (x, y) satisfies BOTH y > 2x − 3 and y ≤ 5 − x?
- A. (1, 2)Correct
- B. (4, 1)
- C. (2, 1)
- D. (0, 6)
Answer: A. (1, 2)
(1, 2): 2 > −1 ✓ and 2 ≤ 4 ✓.
Why the other answers are wrong
- B. (4, 1)
- (4, 1): 1 > 5 is false.
- C. (2, 1)
- (2, 1): 1 > 1 is false — the point lies ON the strict boundary.
- D. (0, 6)
- (0, 6): 6 ≤ 5 is false.
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