Which graph represents the solution set of the system of inequalities?
1 answer:
The given inequalities are
y < (2/3)x
y ≥ -x + 2
The line y = (2/3)x has a positive slope of 2/3, and it passes through the origin.
This line is shown as a dashed line segment in both graphs.
Because the inequality requires that y < (2/3)x, therefore the shading for the first graph is incorrect. It is correct for the second graph.
The line y = -x + 2 has a negative slope of -1, and a y-intercept of 2.
This line also appears in both graphs.
Because the inequality requires that y ≥ - x + 2, the shading for the first graph is incorrect. It is correct for the second graph.
Answer: The second graph is correct (and it is shown below).
y < (2/3)x
y ≥ -x + 2
The line y = (2/3)x has a positive slope of 2/3, and it passes through the origin.
This line is shown as a dashed line segment in both graphs.
Because the inequality requires that y < (2/3)x, therefore the shading for the first graph is incorrect. It is correct for the second graph.
The line y = -x + 2 has a negative slope of -1, and a y-intercept of 2.
This line also appears in both graphs.
Because the inequality requires that y ≥ - x + 2, the shading for the first graph is incorrect. It is correct for the second graph.
Answer: The second graph is correct (and it is shown below).
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Hope this helps!