0
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.
What else can I help you with?
Are all equivalent sets are equal sets?
Yes. Equivalent means equal.
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.
What a equal sets?
What are equal sets?? A set is a grouping of numbers. Set P = {1,4,9} if set Q is equal it must contain exactly the same numbers.
What quadrilateral has two sets of parallel opposites sides that are equal?
parallelogram
What shape has 2 sets of parallel sides two sets of equal sides and 4 90 degree vertices?
It can be a square or a rectangle
Are all equivalent sets are equal sets?
Yes. Equivalent means equal.
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
Is equal sets and equivalent sets are the same?
No, equal sets and equivalent sets are not the same. Equal sets contain exactly the same elements, meaning every element in one set is also in the other. In contrast, equivalent sets have the same number of elements but may contain different elements. For example, the sets {1, 2, 3} and {3, 2, 1} are equal, while the sets {1, 2} and {4, 5} are equivalent but not equal, as both contain two elements.
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.
Are equivalent sets equal?
No, equivalent sets are not necessarily equal. Two sets are considered equivalent if they have the same cardinality, meaning they contain the same number of elements, regardless of the actual elements within them. For example, the sets {1, 2, 3} and {a, b, c} are equivalent because both have three elements, but they are not equal since they contain different elements.
Why not all the equal sets are equivalent?
Equal sets contain the same elements, meaning they are identical in composition. However, the term "equivalent sets" refers to sets that have the same cardinality, or number of elements, regardless of their actual content. Therefore, while all equal sets are equivalent since they have the same number of elements, not all equivalent sets are equal, as they may contain different elements. In essence, equality pertains to identity of elements, while equivalence pertains to the quantity of 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.
