answersLogoWhite

0

Examples of equivalent sets

Updated: 4/28/2022
User Avatar

Wiki User

11y ago

Best Answer

equivalent sets are sets having the same number of elements

Example:

a= {dog, cat, buffalo, horse, cow} b= { lion, tiger, zebra, wolf, puma}

set a has 5 elements, so with set b which has 5 elements. so, sets a and b are equivalent sets.

User Avatar

Wiki User

11y ago
This answer is:
User Avatar
More answers
User Avatar

Wiki User

11y ago

For finite sets similarity simply requires both sets to have the same number of distinct elements (the same cardinality). For example, {1,2,3} and {a,b,c,a}. The second set appears to have 4 elements but, in fact, it has only three distinct elements - the same as the first.

Similarity of sets does get more complicated (and counter-intuitive) when dealing with infinite sets. It is probably not too hard to see that the set of odd integers (infinitely many) is similar to the set of even integers (infinitely many). But it is not so easy to see that the set of odd integers is similar to the set of ALL integers.

This is because you can define a mapping from the odd integers to all integers as:

2n-1 to n

Proving that this mapping is bijective (injective and surjective) shows that the two sets have the same cardinality.

This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Examples of equivalent sets
Write your answer...
Submit
Still have questions?
magnify glass
imp