Question 448585
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*[tex \LARGE \ \ \ \ \ \ \ \ \ \ A_1\ =\ \left{a\right}\ \subset\ A]


which reads: The set A sub 1 which is equal to the set with the single element a is a subset of the set A.


and


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ |A_1|\ =\ 1]


which reads: The cardinality of (meaning the number of elements in) the set A sub 1 is 1


So what other sets are subsets of A and have a cardinality of 1?


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ A_\alpha\ =\ \left{a,b\right}\ \subset\ A]


which reads: The set A sub alpha which is equal to the set with the elements a and b is a subset of the set A.


and


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ |A_\alpha|\ =\ 2]


which reads: The cardinality of the set A sub alpha is 2


So what other sets are subsets of A and have a cardinality of 2?


John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
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