Question

Are (-1,3),(0,-9),(1,0),(2,1) ordered pair solutions of y>4x-9

Answer 1

The ordered pair (-1, 3) , (1, 0), (2, 1) are the solutions to given inequality

Solution:

Given inequality is:

y > 4x - 9

We have to check if the ordered pairs (-1,3), (0,-9), (1,0), (2,1) are the solutions of given inequality

Let us substitute each ordered pair in given inequality and check if it satisfies the given inequality

Substitute (x, y) = (-1, 3)

`y > 4x - 9\\\\3 > 4(-1) -9\\\\3 > -4-9\\\\3 > -13`

3 is greater than -13

Therefore, the ordered pair (-1, 3) is a solution to given inequality

Substitute (x, y) = (0, -9)

`-9 > 4(0) - 9\\\\-9>0-9\\\\-9 > -9`

But -9 is equal to -9

Therefore, (-1, 3) is not a solution to given inequality

Substitute (x, y) = (1, 0)

`0 > 4(1) -9\\\\0 > 4-9\\\\0>-5`

0 is greater than -5

Therefore (1, 0) is a solution to given inequality

Substitute (x, y) = (2, 1)

`1>4(2)-9\\\\1>8-9\\\\1>-1`

1 is greater than -1

Therefore (2, 1) is a solution to given inequality