Not intersection of two sets

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I am trying to figure out the word/operation to what is not in the intersection of two sets but is in their union.

How I am going about this now is $$(A \cup B) - (A \cap B)$$

Is there a better way to go about this?

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2 Answers

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$$(A \cup B) - (A \cap B)$$ Is called the symmetric difference and is often denoted by $$ A \Delta B $$

It is analogous to the logical "exclusive or" operation (as union is analogous to "or" and intersection is analogous to "and").

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$(A \cap B^c)\cup (B\cap A^c)$

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