The given inequality is y > (1/9)x + (2/9). To check which point is part of the solution set, substitute the x and y values of each option into the inequality and see if the inequality holds true.
A: (0, -2/9)
Substitute x = 0 and y = -2/9 into the inequality.
(-2/9) > (1/9)(0) + (2/9)
-2/9 > 0 + 2/9
-2/9 > 2/9
This is not true, so point (0, -2/9) is not part of the solution set.
B: (0, -1/9)
Substitute x = 0 and y = -1/9 into the inequality.
(-1/9) > (1/9)(0) + (2/9)
-1/9 > 0 + 2/9
-1/9 > 2/9
This is not true, so point (0, -1/9) is not part of the solution set.
C: (0, -4/9)
Substitute x = 0 and y = -4/9 into the inequality.
(-4/9) > (1/9)(0) + (2/9)
-4/9 > 0 + 2/9
-4/9 > 2/9
This is not true, so point (0, -4/9) is not part of the solution set.
D: (0, -1/3)
Substitute x = 0 and y = -1/3 into the inequality.
(-1/3) > (1/9)(0) + (2/9)
-1/3 > 0 + 2/9
-1/3 > 2/9
This is not true, so point (0, -1/3) is not part of the solution set.
Therefore, none of the options A, B, C, or D are part of the solution set for the given inequality.
show wich of the following points is part of the solution set for the inequality y>(1)/(9)x=(2)/(9) A: (0,-2/9) B: (0,-1/9) C: 0,-4/9) D: (0,-1/3)
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