Subscribe to our ▶️ YouTube channel 🔴 for the latest videos, updates, and tips.
Anti-symmetric Relation on Set
What is anti-symmetric relation onset?
Let A be a set in which the relation R defined.
R is said to be anti-symmetric, if there exist elements, if
aRb and bRa ⇒ a = b
that is, (a, b) ∈ R and ((b, a) ∈ R ⇒ a = b.
A relation R in A is not anti-symmetric, if there exist elements a, b ∈ A, a ≠ b such that aRb and bRa.
For example, the relation defined by ‘x is less than or equal to’ in the set of real numbers is be anti-symmetric, as a ≤ b and b ≤ a imply a = b, where a, b are elements of the set.
● Set Theory
● Sets
● Subset
● Practice Test on Sets and Subsets
● Problems on Operation on Sets
● Practice Test on Operations on Sets
● Venn Diagrams in Different Situations
● Relationship in Sets using Venn Diagram
● Practice Test on Venn Diagrams
8th Grade Math Practice
From Anti-symmetric Relation on Set to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.