Answer: Pretty sure the answer is C
Step-by-step explanation:
The graph that shows the solutions for the inequality, y > -1/3x + 1 is: C. Graph A.
<h3>How to Find the Graph of a Linear Inequality?</h3>
The inequality sign, ">" means that the graph of the inequality has a dashed line where the shaded part is above the boundary line and the boundary line is dashed or dotted. If "≥" is used, the boundary line would not be dashed or dotted and the shaded area would be above it.
On the other hand, "<" is used when the shaded area is below the boundary line and the boundary line is a dashed line. If "≤" was used, the boundary line won't be dashed or dotted, while the shaded area would be below the boundary line that is not dotted.
Given y > -1/3x + 1, the slope (m) = change in y / change in x is -1/3.
Graph A has a slope of -1/3 and the shaded part is above the boundary line.
Therefore, the graph that shows the solutions for y > -1/3x + 1 is: C. Graph A.
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Ignore what is scribbled out but I hope this helps!
Given:
Line A: 2x + 2y = 8
Line B: x + y = 4
x = 4 - y
2(4-y) + 2y = 8
8 - 2y + 2y = 0
0 = -8
y = 4 - x
2x + 2(4-x) = 8
2x + 8 - 2x = 8
0 = 0
There is no solution.