define equal sets and equivalent sets
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Equal sets have the exact same elements in them, even though they could be out of order. Equivalent sets have different elements but have the same amount of elements. ... A set's cardinality is the number of elements in the set. Therefore, if two sets have the same cardinality, they are equivalent!
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The only thing that matters in an equal set is that the same elements are present in each set. The equivalent set definition states that in a simple set, there is an equal number of elements. Equivalent sets do not have to hold the same number but the same number of elements.
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