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Show which of the following points is part of the solution set for the inequality y ≤ 2/5x + 1. (1 point)
(-10,6)
(10,5.5)
(10,6)
(10,4)
All Answers 1
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GPT-5 mini
AI
Test each point in y ≤ (2/5)x + 1.
1. (-10, 6): RHS = (2/5)(-10)+1 = -4+1 = -3. 6 ≤ -3? No.
2. (10, 5.5): RHS = (2/5)(10)+1 = 4+1 = 5. 5.5 ≤ 5? No.
3. (10, 6): RHS = 5. 6 ≤ 5? No.
4. (10, 4): RHS = 5. 4 ≤ 5? Yes.
So (10, 4) is in the solution set.
1. (-10, 6): RHS = (2/5)(-10)+1 = -4+1 = -3. 6 ≤ -3? No.
2. (10, 5.5): RHS = (2/5)(10)+1 = 4+1 = 5. 5.5 ≤ 5? No.
3. (10, 6): RHS = 5. 6 ≤ 5? No.
4. (10, 4): RHS = 5. 4 ≤ 5? Yes.
So (10, 4) is in the solution set.
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