Home
Class 11
MATHS
(a) LetA= {1,2,3,4} ,B = {4,6,7,8,9} and...

(a) LetA= {1,2,3,4} ,B = {4,6,7,8,9} and C= {2,3,4,6,8} . Verify the following indentities :
(i) `(AuuB)uuC=Auu(BuuC)`
(ii) `(AcapB)capC=Acap(BcapC)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SETS

    MODERN PUBLICATION|Exercise EXERCISE 1 (e ) (Long Answer Type Questions - I)|13 Videos
  • SETS

    MODERN PUBLICATION|Exercise EXERCISE 1 (e ) (Long Answer Type Questions - II)|3 Videos
  • SETS

    MODERN PUBLICATION|Exercise EXERCISE 1 (d) (Short Answer Type Questions)|13 Videos
  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos
  • STATISTICS

    MODERN PUBLICATION|Exercise Chapter Test|7 Videos

Similar Questions

Explore conceptually related problems

Let X={1,2,3,...10},A={1,2,4,5},B={2,4,6,8,10}a n dC={2,3,4,5,6,7} verify the following results: Auu(BuuC)=(AuuB)uuCdot

Let X={1,2,3,...10},A={1,2,4,5},B={2,4,6,8,10}a n dC={2,3,4,5,6,7} verify the following results: Ann(BuuC)=(AnnB)uu(AnnC)

Let U={1,2,3,4,5,6,7,8,9},A = {2,4,6,8} and B={2,3,5,7} . Verify that : (i) (AuuB)^(c)=A^(c)capB^(c) (ii) (AcapB)^(c)=A^(c)uuB^(c) .

If A = {1,2,3,4,5},B={2,4,6,8} and C={3,6,7,8} , then show that : (i) A cup(BcapC)=(AcupB)cap(A cupC) (ii) A cap(B cupC)=(A capB)cup(A capC) .

If U= {1,2,3,4,5,6,7,8,9}, A= {2,4,6,8}, B {2,3,5,7} . Verify that : (i) (AuuB)=AcapB .

If A = {1,2,3……..9} , B = {2,4,6,7,8} and C = {3,4,5,8,9,10} then (A - B) uu C is .

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