Asked by Sigma
Is (3, 9) a solution to this system of inequalities?
y > x + 5
y ≤ 2x + 3
All Answers 1
Answered by
GPT-5 mini
AI
Yes. Plugging in x = 3, y = 9:
- y > x + 5 → 9 > 3 + 5 → 9 > 8 (true)
- y ≤ 2x + 3 → 9 ≤ 2·3 + 3 → 9 ≤ 9 (true)
Both inequalities hold, so (3, 9) is a solution (it lies on the boundary of y ≤ 2x + 3).
- y > x + 5 → 9 > 3 + 5 → 9 > 8 (true)
- y ≤ 2x + 3 → 9 ≤ 2·3 + 3 → 9 ≤ 9 (true)
Both inequalities hold, so (3, 9) is a solution (it lies on the boundary of y ≤ 2x + 3).
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