AlgebraHardPoint satisfying a system of inequalities
Algebra practice question
Which point (x, y) satisfies both y > 2x − 3 and y ≤ −x + 6?
- A. (1, 4)Correct
- B. (3, 1)
- C. (1, 6)
- D. (4, 0)
Answer: A. (1, 4)
At (1, 4): 4 > 2(1) − 3 = −1 holds, and 4 ≤ −1 + 6 = 5 holds.
Why the other answers are wrong
- B. (3, 1)
- (3, 1): the first inequality needs y > 3, but y = 1.
- C. (1, 6)
- (1, 6): the second inequality caps y at 5, but y = 6.
- D. (4, 0)
- (4, 0): the first inequality needs y > 5, but y = 0.
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