Question 202397
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Equivalent sets have the same number of elements.  Equal sets have the exact same elements.


*[tex \Large \{1, 2, 3\}] and *[tex \Large \{Q, M, B}] are equivalent.


*[tex \Large \{apple,\ banana,\ peach\}] and *[tex \Large \{peach,\ apple,\ banana\}] are equal (order doesn't matter - a set is a bag of stuff rather than an ordered list)


Note that 'Equal' and 'Both' are really the same answer.  In other words, two sets cannot be equal without also being equivalent.  But equivalence alone does not imply equality.


One more example:


*[tex \Large \{1,\ 2,\ 3\}] and *[tex \Large \{1,\ 2,\ 2,\ 3\}] are neither equal nor equivalent.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
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