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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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What is the difference between improper subset and equal sets?
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.
Are equal sets equivalent set?
yes, equal sets are equalent
What is an equivalent of a set?
equal sets
Can equivalent sets also be equal?
Yes.
Are equal sets also equivalent sets why?
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.
Are all equivalent sets are equal sets?
Yes. Equivalent means equal.
What is the difference between improper subset and equal sets?
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.
Are equivalent sets equal sets why?
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
Are equal sets equivalent set?
yes, equal sets are equalent
Is it true that all equal sets are equivalent sets?
Yes.
What is an equivalent of a set?
equal sets
What is equal set from equivalent sets?
equal sets with exactly the same elements and number of elements.equivalent sets with numbers of elements
Can equivalent sets also be equal?
Yes.
What are equal and equivalent sets?
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.
Are equal sets also equivalent sets why?
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.
Why equal set are equivalent set but equivalent set are not equal set?
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.
Definition of equivalent sets?
two sets A and B are said to be equivalent if there exists a bijective mapping between A and B
