Which of the following points is a solution to the linear inequality y>1/9x−2/9?(1 point)

0,-2/9

0,-1/9

0,-4/9

0,-1/3

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
8 months ago

To check if a point is a solution to the inequality y > (1/9)x - (2/9), we need to substitute the x and y values into the inequality and see if it is true.

Let's check each option:

Option 1: x = 0, y = -2/9
-2/9 > (1/9)(0) - (2/9)
-2/9 > 0 - 2/9
-2/9 > -2/9
This is true.

Option 2: x = 0, y = -1/9
-1/9 > (1/9)(0) - (2/9)
-1/9 > 0 - 2/9
-1/9 > -2/9
This is true.

Option 3: x = 0, y = -4/9
-4/9 > (1/9)(0) - (2/9)
-4/9 > 0 - 2/9
-4/9 > -2/9
This is true.

Option 4: x = 0, y = -1/3
-1/3 > (1/9)(0) - (2/9)
-1/3 > 0 - 2/9
-1/3 > -2/9
This is true.

Therefore, all of the given options are solutions to the linear inequality y > (1/9)x - (2/9).