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Question
If a relation R on the set {1, 2, 3} be defined by R = {(1, 2)}, then R is ______.
Options
Reflexive
Transitive
Symmetric
None of these
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Solution
If a relation R on the set {1, 2, 3} be defined by R = {(1, 2)}, then R is transitive.
Explanation:
R on the set {1, 2, 3} be defined by R = {(1, 2)}
Hence, its clear that R is transitive.
a homogeneous relation R over a set X is transitive if for all elements a,b,c in X, whenever R relates a to b and b to c, then R also relates a to c.
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