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No, because equivalent sets are sets that have the SAME cardinality but equal sets are sets that all their elements are precisely the SAME. example: A={a,b,c} and B={1,2,3} equivalent sets C={1,2,3} and D={1,2,3} equal sets
no,because if for example :setA "A,B,C" and setB "D,E,F" they do have the same number of elements ,but they don't have the same elements.
coincidental -Lines that share the same solution sets.
3,4,5 1,2,3 these are sets of pythagorean triples
There is quite a lot of algebra devoted to solving problems involving sets, parts of sets, and concepts closely related to sets, such as subsets, cosets, and groups. You'll need to be more specific.