I'm sorry, but I am unable to see images. However, I can help you understand how to determine whether a set of coordinates represents a viable solution to a given inequality related to the number of adults and children at a party.
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Understanding the Inequality: Generally, the inequality will have variables representing adults and children, such as \( x \) for adults and \( y \) for children. If the inequality is something like \( x + y \leq 100 \), for example, this would mean that the total number of adults and children must not exceed 100.
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Evaluate Labeled Points: To find a viable solution, substitute the coordinates of the labeled points (for example, \( (x,y) \)) into the inequality. If the inequality holds true after substitution, then that point is a viable solution.
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Graphical Representation: If you are working with a graph, the feasible area defined by the inequality will usually be a shaded region, and any point within that region represents a viable solution.
If you can provide the coordinates of the labeled points or the inequality itself, I can help you determine which point is viable.