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.
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.
Equal sets are the sets that are exactly the same, element for element. A proper subset has some, but not all, of the same elements. An improper subset is an equal set.
yes, equal sets are equalent
equal sets
Yes.
Yes. Equivalent means equal.
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.
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
Equal sets are the sets that are exactly the same, element for element. A proper subset has some, but not all, of the same elements. An improper subset is an equal set.
yes, equal sets are equalent
Yes.
equal sets
equal sets with exactly the same elements and number of elements.equivalent sets with numbers of elements
Yes.
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.
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.
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.