Q.7 Show that the relation R in the set A of all the books in a library of a college,
given by is an equivalence
relation.
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Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.
Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.
Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.
A = all the books in a library of a college
Let
means x and y have same number of pages.
Since,y and x have same number of pages so
.
Hence, it is symmetric.
Let
means x and y have same number of pages.
and
means y and z have same number of pages.
This states,x and z also have same number of pages i.e.
Hence, it is transitive.
Thus, it is reflexive, symmetric and transitive i.e. it is an equivalence
relation.?