A={1,2,3,4,5,6} if R is the reflexive relation on A then the minimum number of element of R
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Given: A = { 1 , 2 , 3 , 4 , 5 , 6 } , R be a reflexive relation.
To find: Minimum number of elements in R.
Solution:
- Now in relation and functions, a reflexive relation is the one in which every element maps to itself.
- We have given the set A = { 1 , 2 , 3 , 4 , 5 , 6 }
- Then the reflexive relation will be:
R = { ( 1,1 ) , ( 2,2 ) , ( 3,3 ) , ( 4,4 ) , ( 5,5 ) , ( 6,6 ) }
- So this is a reflexive relation R in set A.
- The minimum number of elements in R is 6.
Answer:
So the minimum number of elements in R is 6.
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