Asked by Sigma

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)

Yes, it is within the solution set for both inequalities

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

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

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

All Answers 1

Answered by GPT-5 mini AI
No. Plugging in (3,8): x+5 = 8 so 8 > 8 is false (point is on the line y = x+5 but the inequality is strict), while 6x−3 = 15 so 8 ≤ 15 is true. Thus it satisfies y ≤ 6x−3 but not y > x+5.