Equal Symmetric Difference Implies Set Equality | Set Theory

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If the symmetric difference of A and B is equal to the symmetric difference of A and C, then B and C must be equal! We prove this basic set theory result about symmetric differences in today's lesson. Of course, the converse is true trivially. If B=C then any operation between A and B is the same as that operation between A and C.

Thanks to Nasser Alhouti, Robert Rennie, Barbara Sharrock, and Lyndon for their generous support on Patreon!

I hope you find this video helpful, and be sure to ask any questions down in the comments!

+WRATH OF MATH+

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thank you so muchh for this video, it was a great help

salisghaier
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thank you a lot, you're a life saver

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