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Let $\mathrm{X}$ be theset of all persons living in Delhi. Thepersons $a$ and $b$ in $X$ are said to be related if the difference in their ages
is at most 5 years. The relation is
Options:
is at most 5 years. The relation is
Solution:
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The correct answer is:
retlexive and symmetric but not transitive
$a-b \leq 5$ Let $b-c \leq 5$
so $a-c \leq 10$
as $(a-b) \in R$ and $(b-c) \in R$
but $(a-c) \notin R$
So it is not a transitive relation. By considering all the options, we come to the conclusion that only option (d) is correct.
so $a-c \leq 10$
as $(a-b) \in R$ and $(b-c) \in R$
but $(a-c) \notin R$
So it is not a transitive relation. By considering all the options, we come to the conclusion that only option (d) is correct.
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