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For a tough problem (e.g., proving that a subspace of a Hausdorff space is Hausdorff), look up two different sources (e.g., StackExchange and the Chegg solution). Do they use the same approach? One might use the inheritance of open sets, another might use limit points. Understanding both deepens your flexibility.

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Proving that specific functions (like the taxicab or max metric) satisfy the triangle inequality. Open Balls and Neighborhoods: For a tough problem (e