To answer your questions, I would need a visual representation of the graphs or specific descriptions of the lines and shading. However, I can offer some guidelines for how you can determine the inequality symbols and solutions to the inequalities based on typical characteristics of a graph of systems of inequalities.
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Inequality Symbol of the Green Line:
- If the green line is a solid line, the inequality is either ≤ (less than or equal to) or ≥ (greater than or equal to).
- If the green line is a dashed line, the inequality is either < (less than) or > (greater than).
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Inequality Symbol of the Purple Line:
- Similar to the green line, if the purple line is solid, then it is ≤ or ≥.
- If the purple line is dashed, then it is < or >.
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Checking Points Against Inequalities:
- To determine if a point is a solution to the system, substitute the coordinates of each point into the inequalities represented by the lines and check if they hold true.
- For instance, if the inequalities are:
- Green line: \(y < mx + b\) (example of a dashed line)
- Purple line: \(y \leq mx + b\) (example of a solid line)
- You would plug in (-3, -5) and (1, 6) into both inequalities.
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Is the Point (-3, -5) a Solution?:
- Substitute x = -3 and y = -5 into each inequality to see if both inequalities are satisfied.
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Is the Point (1, 6) a Solution?:
- Similarly, substitute x = 1 and y = 6 into the inequalities to see if both are satisfied.
Without the specific graph or equations, I can only provide this general guidance. If you can share more details about the lines or inequalities, I could give more precise answers.