Question
Mathematics Question on Relations
Given relation R={(x, y): y=x+5, x < 4, x, y ∈ N}. Where N is a set of natural numbers then :
A
R is an equivalence relation.
B
R is transitive but neither reflexive nor symmetric.
C
R is reflexive but neither symmetric nor transitive.
D
R is symmetric & transitive but not reflexive.
Answer
R is transitive but neither reflexive nor symmetric.
Explanation
Solution
The correct option is (B):R is transitive but neither reflexive nor symmetric.