let A={4,5,6} and R={(4,3), (5,6), (6,4)}
identify the type of relation.
Answers
Answer:
Har ghadi badal rahi hai roop zindagi
Chaanv hai kabhi kabhi hai dhoop zindagi
Har pal yahan jee bhar jiyo
Jo hai samaa kal ho naa ho
Har ghadi badal rahi hai roop zindagi
Chaanv hai kabhi kabhi hai dhoop zindagi
Har pal yahan jee bhar jiyo
Jo hai samaa kal ho naa ho
Chaahe jo tumhe poore dil se
Milta hai woh mushkil se
Aisa jo koi kahin hai
Bas wohi sabse hasin hai
Uss haath ko tum thaam lo
Woh meherbaan kal ho naa ho
Har pal yahaan jee bhar jiyo
Jo hai samaa kal ho naa ho
Given:
A = {4, 5, 6}.
R = { (4, 3), (5, 6), (6, 4) }.
To Find:
We have to identify the type of relationship between the given sets.
Solution:
Consider the given sets.
A = {4, 5, 6}.
R = { (4, 3), (5, 6), (6, 4) }.
Here, (4, 4), (5, 5) and (6, 6) ∈ R. Therefore, A and R have an irreflexive relation.
An irreflexive relation is the relation of R on a set A, if (a, a) ∉ R for every a ∈ A.
(5, 6), (6, 4) ∈ R whereas (6, 5), (4, 6) ∉ R. Therefore, A and R have an antisymmetric relation.
An antisymmetric relation is the relation of R on a set A, if (a, b) ∈ R and (b, a) ∈ R then a = b.
Hence, the types of relations between the sets A and R are irreflexive and antisymmetric.
#SPJ2