Question

Here is a graph of the equation 2y - x = 1.Check if each of these points is a solution to the inequality 2y - x > 1:(0, 2) (8, 1/2) (-6, 3) (-7, -3)

Answer 1

(0, 2): solution

(8, 1/2): not a solution

(-6, 3): solution

(-7, -3): not a solution

Step-by-step explanation:

To deterien the points that are solution to the inequality 2y - x > 1, we can plot the points on the graph or we check each of the points using the inequality. If statement is correct, then it is a solution.

The given points: (0, 2), (8, 1/2), (-6, 3), (-7, -3)

Inequality: 2y - x > 1

when x = 0, y = 2

2(2) - 0 > 1

4 - 0 > 1

4 > 1 (statement is correct)

Hence, it is a solution

when x = 8, y = 1/2

2(1/2) - 8 > 1

1 - 8 > 1

-7 > 1 (statement isnot correct)

Hence, it isnot a solution

when x = -6, y = 3

2(3) - (-6) > 1

6 + 6 > 1

12 > 1 (statement is correct)

Hence, it is a solution

when x = -7, y = -3

2(-3) - (-7) > 1

-6 + 7 > 1

1 > 1 (statement is not correct)

Hence, it isnot a solution