The graph below represents which system of inequalities?
y less than or greater to -2x + 3 y less than or greater to x + 3 y greater than or equal to -2x + 3 y greater than or equal to x + 3 y less than or greater to -3x + 2 y less than or greater to -x + 2 y > -2x + 3 y > x + 3
First, note the slope and intercept for your boundary lines. One line has a slope of m=-3, the other has a slope of m=-1. Both have y intercepts at (0,2). None of your options for answers are reasonable for the picture. The one that has the correct boundaries is the third one. Assuming the answer is the area in yellow, the system of inequalities is\[y \ge -3x + 2\]\[y \le -x+2\]
If the answer is the area in green, both inequalities are less than or equal to.
I'm not sure what "less than or greater to" means.
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