Which of the following points are not solutions of 2y-5x>6?
I. (-3,4) II. (5, -5/3) III. (3/4, 5) IV. (2.6, 5)
Just try them, and did you catch the error in your previous problem way below, scroll down
as for this
2(4) -5(-3) = 8 + 15 yes, ok
2(-5/3) -5(5) = 10/3-25 NO, way too small
2(5)-5(3/4) easy bigger than 6 etc
To determine which points are not solutions of the inequality 2y - 5x > 6, we can substitute each point into the inequality and check if the resulting statement is true or false.
I. (-3,4): We substitute x = -3 and y = 4 into the inequality: 2(4) - 5(-3) > 6.
This simplifies to 8 + 15 > 6, which is true. Therefore, (-3,4) is a solution.
II. (5, -5/3): Plugging in x = 5 and y = -5/3, we have 2(-5/3) - 5(5) > 6.
Simplifying, we get -10/3 - 25 > 6, which is false. Hence, (5, -5/3) is not a solution.
III. (3/4, 5): Substituting x = 3/4 and y = 5, we get 2(5) - 5(3/4) > 6.
Simplifying further, we obtain 10 - 15/4 > 6, which is false. So, (3/4, 5) is not a solution either.
IV. (2.6, 5): Substituting x = 2.6 and y = 5, we have 2(5) - 5(2.6) > 6.
Simplifying the expression, we get 10 - 13 > 6, which is false. Therefore, (2.6, 5) is not a solution.
In conclusion, the points that are not solutions of the inequality 2y - 5x > 6 are II. (5, -5/3), III. (3/4, 5), and IV. (2.6, 5).