To determine which point is a solution to the inequality, we need to substitute the x and y values of each point into the inequality and check if the inequality statement holds true.
Let's substitute the x and y values of each point into the inequality y > 1/9 * x - 2/9:
1) (0, -1/3):
-1/3 > 1/9 * 0 - 2/9
-1/3 > 0 - 2/9
-1/3 > -2/9
This inequality is true, so (0, -1/3) is a solution to the inequality.
2) (0, -1/0):
This point is not valid as the y-coordinate is -1/0, which is undefined (division by zero is undefined). Therefore, (0, -1/0) is not a solution.
3) (0, -2/a):
This point is also not valid as the y-coordinate is -2/a, which is not a specific value without knowing the value of 'a'. Therefore, (0, -2/a) is not a solution.
4) (0, -4/8):
-4/8 > 1/9 * 0 - 2/9
-4/8 > 0 - 2/9
-4/8 > -2/9
This inequality is true, so (0, -4/8) is a solution to the inequality.
Therefore, the points that are solutions to the inequality y > 1/9 * x - 2/9 are:
(0, -1/3) and (0, -4/8)
Which of the following points is a solution to the linear inequality y > 1/9 * x - 2/9 po (0, - 1/3); (0, - 1/0); (0, - 2/a); (0, - 4/8)
1 answer
1 answer