To solve the system of inequalities based on the graph you've described, we need to understand the regions that are shaded and the equations of the lines.
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Identify the equations of the lines from the points you mentioned:
- The first line goes through (1, 1) and has a slope, likely resulting in an upward slope (we assume y = x).
- The second line goes through (-2, -2) and has a negative slope downwards.
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The intersection point you noted is (2, -2), so it likely represents the boundary where the two inequalities meet.
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The shaded region helps determine which points satisfy both inequalities.
Since we can't physically see the graph or the mathematical equations, let's analyze each option:
- (4, -2): This point is likely not part of the shaded region because it doesn't seem to be nearby the intersection area.
- (5, -3): Same reasoning as above; it's farther from the intersection.
- (2, -1): This seems like a candidate (check if it's within bounding lines).
- (5, -4): This is likely outside as well.
- (-1, 2): This point seems outside too.
- (-3, 5): This point is also further away from the shaded region.
The actual candidates need checking against the inequalities.
Please clarify or review these points based on the graph, as the answers will hinge on the exact lines and shaded areas illustrated in your graph. If you can provide the inequality equations attached to the lines, I can better verify which specific points satisfy the inequalities.
From your options, check around the intersection and between the lines for the potential points inside the shaded area to respond correctly based on their coordinates.
1 answer