9. Which of the following points are not solutions of 2y 5x > 6?
1. (-3,4)
A. I and II
II. (5,-)
B. III only
Ⅲ. (5)
C. II and IV
IV. (2.6, 5)
D. III and IV
To determine which points are not solutions of the inequality, we substitute the x and y values into the inequality and check if the inequality is true or false.
1. (-3,4)
2(4) - 5(-3) > 6
8 + 15 > 6
23 > 6
This statement is true.
II. (5,-)
2(-) - 5(5) > 6
This point does not have a specific y value, so we cannot determine if it is a solution or not.
Ⅲ. (5)
2(5) - 5(5) > 6
10 - 25 > 6
-15 > 6
This statement is false.
IV. (2.6, 5)
2(5) - 5(2.6) > 6
10 - 13 > 6
-3 > 6
This statement is false.
Therefore, the points that are not solutions of the inequality are:
Ⅲ. (5)
IV. (2.6, 5)
The answer is D. III and IV