Respuesta :

The three ordered pairs are in the solution set of the inequality 5X - 2Y >8 are (0, -4), (1, -1.5) and (2, 1)

Given the equation of a line expressed as 5x - 2y = 8. In order to get the ordered pairs that are solutions to the inequality, we will vary the input value of "x", and get the corresponding value of "y"

If x = 0

5(0) - 2y = 8

-2y = 8

y = -4

One of the coordinate is (0.-4)

If x = 1

5(1) - 2y = 8

5-2y = 8

-2y = 8-5

y = -3/2

One of the coordinate is (1, -1.5)

If x = 2

5(2) - 2y = 8

10-2y = 8

-2y = 8 - 10

-2y = -2

y = 1

One of the coordinates is (2,1)

Hence the three ordered pairs are in the solution set of the inequality 5X - 2Y >8 are (0, -4), (1, -1.5) and (2, 1)

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