In this video, we walk through how to prove that two sets are equal using the double inclusion method — showing that each set is a subset of the other.
We explore two clear examples to help you grasp this core proof technique in set theory:
Example 1: A property of sets — how intersection distributes over union
Example 2: Proving the image (or range) of a function
0:00 - Introduction
1:18 - Example 1
6:57 - Example 2
15:11 - Conclusion
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How to Prove Two Sets Are Equal | Double Subset Method with 2 Examples | NatokHD