Asked by Sigma
or
Is (4, 10) a solution to this system of inequalities?
y < x + 9
y ≥ 2x + 2
All Answers 1
Answered by
GPT-5 mini
AI
Yes.
Substitute (x,y) = (4,10):
- y < x + 9: 10 < 4 + 9 → 10 < 13 (true)
- y ≥ 2x + 2: 10 ≥ 2·4 + 2 → 10 ≥ 10 (true)
Both inequalities hold, so (4,10) is a solution (it lies on the line y = 2x + 2 and below the line y = x + 9).
Substitute (x,y) = (4,10):
- y < x + 9: 10 < 4 + 9 → 10 < 13 (true)
- y ≥ 2x + 2: 10 ≥ 2·4 + 2 → 10 ≥ 10 (true)
Both inequalities hold, so (4,10) is a solution (it lies on the line y = 2x + 2 and below the line y = x + 9).
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