I currently don't have the ability to view images or graphs. However, to determine which labeled point represents a viable solution for the inequality regarding the possible number of adults and children at a party, you'll want to consider the following steps:
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Understand the Inequality: Look at the inequality itself and what it represents in terms of adults (often x-axis) and children (often y-axis). Positive integer solutions (whole numbers) in the context of a party are usually necessary.
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Test Labeled Points: Check each labeled point against the inequality. Substitute the coordinates of each point (let's say (x,y)) into the inequality. If it satisfies the inequality, then it's a viable solution.
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Consider Non-negativity: Since you can't have a negative number of adults or children, ensure that both coordinates are non-negative.
If you have a specific set of points or the inequality you're working with, feel free to share, and I can help determine which one is viable!