Which of the following points is a solution to the linear inequality y > 1/9x - 2/9? (0, - 1/3) (0, - 1/9) (0, - 2/9) (0, - 4/9)
To determine which of the points is a solution to the inequality, we substitute the x and y values of each point into the inequality and see if it is true or false.
For the point (0, -1/3), we substitute x=0 and y=-1/3 into the inequality:
-1/3 > (1/9)(0) - 2/9
-1/3 > -2/9
This is true.
For the point (0, -1/9), we substitute x=0 and y=-1/9 into the inequality:
-1/9 > (1/9)(0) - 2/9
-1/9 > -2/9
This is true.
For the point (0, -2/9), we substitute x=0 and y=-2/9 into the inequality:
-2/9 > (1/9)(0) - 2/9
-2/9 > -2/9
This is false.
For the point (0, -4/9), we substitute x=0 and y=-4/9 into the inequality:
-4/9 > (1/9)(0) - 2/9
-4/9 > -2/9
This is false.
Therefore, the points (0, -1/3) and (0, -1/9) are solutions to the inequality y > (1/9)x - 2/9.
There’s only 1 answer
Apologies for the mistake in the previous response.
The correct answer is (0, -1/3).
To verify this, let's substitute x=0 and y= -1/3 into the inequality:
-1/3 > (1/9)(0) - 2/9
-1/3 > -2/9
This inequality is true, so (0, -1/3) is indeed a solution to the given inequality.