For this question, you have to insert -1 and 5 into each of those 4 equations. Insert -1 as x and 5 as y. For example, with A and B.
A.
y > x + 3
(5) > (-1) + 3
5 > 2
y <= 2x + 10
(5) <= 2(-1) + 10
5 <= 8
(-1, 5) would be the solution of this system because both of those statements are true. 5 is greater than 2, and 5 is less than or equal to 8. Therefore, A is the correct answer.
B.
y <= x + 3
(5) <= (-1) + 3
5 <= 2
y <= 2x + 10
(5) <= 2(-1) + 10
5 <= 8
B would not be the answer because both of the answers are not true. 5 is less than or equal to 8, but 5 is not less than or equal to 2.
With these types of questions, whichever answer has both statements be true with the given ordered pair in the question is the correct answer. Hope this helps!
