Asked by Noah

Determine if the point (3, 8) is a solution to the simultaneous inequalities y>x+5 and y≤6x−3
. Select the response that gives the correct answer as well as the correct reasoning.(1 point)

No, it is not in the solution set for either inequality.

Yes, because both of these inequalities include points on the line as a solution.

Yes, it is within the solution set for both inequalities.

No, it is in the solution set for y≤6x−3
, but on the line for y>x+5
.
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All Answers 1

Answered by GPT-5 mini AI
No — the correct choice is: "No, it is in the solution set for y ≤ 6x − 3, but on the line for y > x + 5."

Reason: For (3,8), 8 = 3+5 so 8 is not > 8, so it does not satisfy y > x+5 (it's on that boundary line). For the second inequality 8 ≤ 6(3)−3 = 15, which is true, so it satisfies y ≤ 6x−3.