Answer:
The answer to your question is letter B because the three points satisfy the inequality.
Explanation:
Process
1.- Evaluate each point in the inequality, if the point satisfies the inequality that is the answer
y > 1/2x - 2
A) {(6, 1), (-1, -3), (4, 4)}
1 > 0.5(6) - 2
1 > 3 - 2
1 > 1 This option is wrong because
1 = 1
-3 > 0.5(-1) -2
-3 > -0.5 - 2
-3 > -2.5 This option is also wrong -3 < -2.5
I do not evaluate point A because the first two points do not satisfy the inequality.
B) {(1, -1), (-3, -3), (2, 4)}
-1 > 0.5(1) - 2
-1 > 0.5 - 2
-1 > -1.5 This option is correct
-3 > 0.5(-3) -2
-3 > -1.5 - 2
-3 > -3.5 This option is correct
4 > 0.5(2) -2
4 > 1 - 2
4 > -1 This option is correct
I do not evaluate points c and d because the correct answer is letter B.
C) {(1, -1), (-3, -3), (4, -2)}
D) {(-1, -3), (-3, -3), (2, 4)}