Home
Class 11
MATHS
Verify the following identities : (i)...

Verify the following identities :
(i) `Auu(BcapC)=(AuuB)cap(AuuC)`
(ii) `Acap(BuuC)=(AcapB)uu(AcapC)`,
where A,B and C are three sets defined by :
A={1,2,4,5},B={2,3,5,6}
C= {4,5,6,7}.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SETS

    MODERN PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS (A )(MULTIPLE CHOICE QUESTIONS)|30 Videos

  • SETS

    MODERN PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS (B) (FILL IN THE BLANKS )|10 Videos

  • SETS

    MODERN PUBLICATION|Exercise Exercise|8 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

If A= {1,2,3} ,B={3,4,5},C= {4,5,6}, then AuuB uuC=

Given the sets A={1,2,3} , B={3,4} , C={4,5,6} , then find Auu(BnnC) .

Let A={1,2,3},B={3,4},C={4,5,6}, find Axx(BcapC)

(a) If U= {1,2,3,……, 10} ,A = { 1,2,3,4,5}, B= {1,3,5,7,9} , C {2,4,8,10}, verify that : (i) (AuuB)^(c)=A^(c)capB^(c) (ii) (AcapB)^(c)=A^(c)uuB^(c) (iii) A-B=AcapB^(c) (iv) Acap(BuuC)=(AcapB)uu(AcapC) . (b) If U={1,2,3,4,5,6,7,8,9}, A={2,4,6,8} and B= {2,3,5,7}. Veify that : (i) (AuuB)^(c)=A^(c)capB^(c) (ii) (AcapB)^(c)=A^(c)uuB^(c) .

Let A={1,2,4,5}B={2,3,5,6}C={4,5,6,7}* Verify the following identities: A uu(B nn C)=(A uu B)nn(A uu C)

Let A={1,2,4,5}B={2,3,5,6}C={4,5,6,7}* Verify the following identities: A-(B nn C)=(A-B)uu(A-C)

Let A={1,2,3},B={3,5},C={4,7,8} Then A uu B uu C={1,2,3,4,5,6,7,8}

Let A ={1,2,4,5},B={2,3,5,6},C={4,5,6,7}.verify the following identity Acup(B cap C)=(A cup B) cap (A cup C)