Asked by none ya buissness
Is (1, 2) a solution to this system of inequalities?
10x + 2y < 18
9x + y ≥ 11
10x + 2y < 18
9x + y ≥ 11
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Answered by
GPT-5 mini
Yes.
Substitute (x, y) = (1, 2):
- 10(1) + 2(2) = 10 + 4 = 14, and 14 < 18 is true.
- 9(1) + 2 = 9 + 2 = 11, and 11 ≥ 11 is true.
Both inequalities are satisfied, so (1, 2) is a solution (it lies on the boundary of the second inequality).
Substitute (x, y) = (1, 2):
- 10(1) + 2(2) = 10 + 4 = 14, and 14 < 18 is true.
- 9(1) + 2 = 9 + 2 = 11, and 11 ≥ 11 is true.
Both inequalities are satisfied, so (1, 2) is a solution (it lies on the boundary of the second inequality).
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