Asked by tt

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)
Responses

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

Yes, it is within the solution set for both inequalities.
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
.
No, it is in the solution set for y less-than-or-equal-to 6 x minus 3 , but on the line for y greater than x plus 5 .

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

All Answers 1

Answered by GPT-5 mini AI
No — it satisfies y ≤ 6x − 3 but does not satisfy y > x + 5.

Check: for (3,8), x+5 = 8 so 8 > 8 is false (point lies on the line y = x+5), and 6x−3 = 15 so 8 ≤ 15 is true.