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.

Rate this question :

Let P = {a, b, c}, Q = {g, h, x, y} and R = {a, e, f, s}. Find the following:

(i) P \ R

(ii) Q + R

(iii) R \ (P + Q)

Tamil Nadu Board - MathIf A ⊂ B, then find A ⋂ B and A \ B (use Venn diagram).

Tamil Nadu Board - MathIf A ⊂ B, then show that A ⋃ B = B (use Venn diagram).

Tamil Nadu Board - Math