AlgebraVery hardWhich point satisfies a system of inequalities
Algebra practice question
Which ordered pair (x, y) satisfies BOTH 2x + y ≤ 10 and y ≥ x − 1?
- A. (3, 3)Correct
- B. (4, 3)
- C. (5, −1)
- D. (0, −2)
Answer: A. (3, 3)
(3, 3): 6 + 3 = 9 ≤ 10 ✓ and 3 ≥ 2 ✓.
Why the other answers are wrong
- B. (4, 3)
- (4, 3): 11 ≤ 10 is false.
- C. (5, −1)
- (5, −1): −1 ≥ 4 is false.
- D. (0, −2)
- (0, −2): −2 ≥ −1 is false.
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