Just to clarify, here are the answer choices:
A. {(–3,–17), (4,11), (7,19)}
B. {(3,22), (2,3), (8,27)}
C. {(4,29), (–6,–58), (7,19)}
D. {(–2,–18), (4,37), (5,15)}
And all of the points in the set must satisfy y ≤ 8x – 3.
The only way is to go through each answer choice, eliminating each that is wrong.
A) -17 ≤ -3*8-3
-17 ≤ -21 ✘
B) 22 ≤ 3*8-3
22 ≤ 21 ✘
C) a) 29 ≤ 8*4-3
29≤29 ✔
b) -58 ≤ 8*(-6)-3
-58 ≤ -49 ✔
c) 19 ≤ 7*8-3
19 ≤ 53 ✔
It becomes clear that the answer is C. But just to make sure, we must check D to make sure C is really the answer.
D) -18 ≤ 8(-2)-3
-18 ≤ -19 ✘
That means that C is the answer.
