Let A = {1,2,3,4} and let R = {(1,1), (1,2),(2,1),(2,2),(3,4),(4,3), (3,3), (4,4)} be an equivalence relation on R. Determine A/R.
The Answer to the Question
is below this banner.
Can't find a solution anywhere?
NEED A FAST ANSWER TO ANY QUESTION OR ASSIGNMENT?
Get the Answers Now!You will get a detailed answer to your question or assignment in the shortest time possible.
Here's the Solution to this Question
It is reflexive because aRa for all an in A
It is symmetric because for all aRb ,bRa is also true
It is transitive
Equivalence classes are:
[1]={1,2}
[3]={3,4}
So the quotient set is
A/~={[1],[3]}