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  4. Let A = 7, 8, 9, 10 and R = (8, 8), (9, 9), (10, 10),(7, 8) be a relation on A, then R is

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Q. Let $A = \{7, 8, 9, 10\}$ and $R = \{(8, 8), (9, 9), (10, 10),(7, 8)\}$ be a relation on $A$, then $R$ is

Relations and Functions - Part 2

Solution:

As $(7, 7) \notin R$, so $R$ can not be reflexive.
Again $(7, 8) \in R$ but $(8, 7) \notin R$, so $R$ is not symmetric.
As $(7, 8), (8, 8) \in R$
$\therefore R$ is transitive.