Q. 23.8( 4 Votes )

If A B, then find A B and A \ B (use Venn diagram).

Answer :

Form (A B) it’s clear that the set A is a subset of B which means all the elements of set A are in B.


A intersection operation between two sets generate a new set which contain all the common elements of the two sets. So the intersection of both the sets will give the common elements of sets A and B and from the given statement we know that A is a subset of B so the intersection will give all the elements of set A. So Venn diagram to represent (A B) can be drawn as




A difference or compliment operation between set A and B will give all the elements which are only a part of set A and are not belong to set B. So it’s not possible to find the elements which are only the part of set A but not a part of B because A is a subset of B so all the elements of A are in B.


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