A = { 1,2,3,4,5,6 } and B = {1,2,3,4,5,6 }
A and B above are EQUAL sets because ALL their elements are precisely the SAME.
C = {a,b,c,d,e,f} and D = {3,4,5,6,7,8}
C and D are EQUIVALENT sets because the NUMBER OF ELEMENTS in both the sets is the same i.e. 6.
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There is no difference between improper subset and equal sets. If A is an improper subset of B then A = B. For this reason, the term "improper subset" is rarely used.
yes, equal sets are equalent
equal sets
Yes.
Yes.Two sets, S and T are equal if and only if every element of S is an element of T. It is then easy to show that they have the same cardinality (number of elements), and that would make them equivalent.