Q: Can equivalent sets also be equal?

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yes, equal sets are equalent

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.

equal sets

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.

Two sets are equal if they have the same elements. Two sets are equivalent if there is a bijection from one set to the other. that is, each element of one set can be mapped, one-to-one, onto elements of the second set.

Related questions

Yes. Equivalent means equal.

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

yes, equal sets are equalent

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.

Yes.

equal sets

equal sets with exactly the same elements and number of elements.equivalent sets with numbers of elements

Equal sets contain identical elements. e.g. if A = {1,2,3} and B = {1,2,3}, then A and B are equal - their elements are the same. Equivalent sets have identical numbers of elements. e.g. if A = {1,2,3} and B = {a,b,c}, then A and B are equivalent - they both have three elements.

Two sets are equivalent if they have the same cardinality. In [over-]simplified terms, if they have the same number of distinct elements. Two sets are equal if the two sets contain exactly the same distinct elements. So {1, 2, 3} and {Orange, Red, Blue} are equivalent but not equal. {1, 2, 3} and {2, 2, 2, 3, 1, 3} are equal.

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.

Two sets are equal if they have the same elements. Two sets are equivalent if there is a bijection from one set to the other. that is, each element of one set can be mapped, one-to-one, onto elements of the second set.

yes it is