Learn the definition of equal and equivalent sets in set theory. Let a, b, and c be arbitrary elements of some set X. For example: C={p,q,r} D={2,3,4} Here, we observe that both the sets contain 3 elements. For eg.- {1, 3, 5, 7} and {7, 5, 1, 3} {January, March, May, November} and { November, March, January, May} EQUIVALENT SETS:-An equivalent set is simply a set with an equal number of elements. (For example, you might form a set of 10 plumbers and. Equivalent sets may not be equal. Equivalent sets have the same number of members, and each member of one set can be In mathematics, an equivalence relation is a binary relation between two elements of a set which groups them together as being "equivalent" in some way. Here, set A and set B are equal sets. In order to determine whether or not two mathematical objects are equivalent, one first needs to clearly define what kind of “equivalence” one is talking about. 10 people, they are equal even if the rules for inclusion in the set were different.) Also, visit CoolGyan to get the definition, set representation and the difference between them with examples It just matters that the same elements are in each set. Then "a ~ b" or "a ≡ b" denotes that a is equivalent to b. Share this: Another definition of equivalent sets is that two sets are equivalent if there is bijection within two sets.The bijection is the one to one correspondence between two sets.It means that for every elemnet in Set X there must be an Element in Set Y, till the elements get over. Let's take a look at some examples: An … The sets do not have to have the same exact elements, just the same number of elements. Equal sets have the same members. For eg.- If by some chance both sets contain the same. Notes: Equal sets are always equivalent. of elements equal sets are the set having equal elements ex let setA={1,4,2,6,8,9} and set B={1,4,2,6,8,9} then set A and B are called equal set equivalent set are the sets having equal no. someone else forms a set of 10 nonsmokers. An equivalent set is simply a set with an equal number of elements. The sets do not have to have the same exact elements, just the same number of elements. Equivalent set: Two sets A and B are said to be equivalent sets if they contain the same number of elements.