SET THEORY PRACTICE QUESTIONS1

In this page set theory practice questions1 we are going to see some practice questions. For each questions you can find solution.

(1) If A ⊂ B,then show that A U B = B (use venn diagram)   Solution

(2) If A ⊂ B, then find A ∩ B and A \ B (use venn diagram)   Solution 

(3) 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)        Solution

(4) If A = {4,6,7,8,9} , B = {2,4,6} and C = {1,2,3,4,5,6},then find

(i) A U (B ∩ C)    (ii) A ∩ (B U C)       (iii) A \ (C \ B)    Solution

(5) Given A = {a,x,y,r,s}, B = {1,3,5,7,-10},verify the commutative property of set union.   Solution

(6) Verify the commutative property of set intersection for A = {l,m,n,o,2,3,4,7} and B = {2,5,3,-2,m,n,o,p}   Solution

(7) For A = {x|x is a prime factor of 42}, B ={x|5 < x ≤ 12, x ∈ N} and C = {1,4,5,6} verify A U (B U C) = (A U B) U C.   Solution

(8) Given P = {a,b,c,d,e} Q = {a,e,i,o,u} and R ={a,c,e,g}. Verify the associative property of set intersection.    Solution

(9) For A = {5,10,15,20} B = {6,10,12,18,24} and C ={7,10,12,14,21,28} verify whether A\ (B\C) = (A\B)\C. Justify your answer.  Solution

(10) Let A = {-5,-3,-2,-1} B = {-2,-1,0} and C = {-6,-4,-2}. Find A\(B\C) and (A\B)\C. What can we conclude about set difference operation?  Solution

(11) For A ={-3,-1,0,4,6,8,10} B = {-1,-2,3,4,5,6} and C = {-1,2,3,4,5,7},show that

(i) A U (B ∩ C) = (A U B) ∩ (A U C)

(ii) A ∩ (B U C) = (A ∩ B) U (A ∩ C)     Solution

(iii) Verify using venn diagrams

   More Chapters

Sets and Functions

Exercise 1.1

Exercise 1.2

Exercise 1.3

Exercise 1.4

MATRIX

Exercise 4.1

Exercise 4.2

Exercise 4.3

Coordinate Geometry

Mensuration

Statistics

Exercise 11.1

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