Home
Class 12
MATHS
Let S={a,b,c,d,e} be the universal set a...

Let `S={a,b,c,d,e}` be the universal set and let `A={a,b,d}and B={b,d,e}` be two of its subsets. Find `(A capB)' and (A cupB)'.`

Text Solution

Verified by Experts

The correct Answer is:
`(A capB)'={a,c,e} and (A cupB)'={c}`
Promotional Banner

Topper's Solved these Questions

  • SET THEORY

    CHHAYA PUBLICATION|Exercise Long answer type questions|47 Videos

  • SET THEORY

    CHHAYA PUBLICATION|Exercise Multiple Correct Answer Type|5 Videos

  • SET THEORY

    CHHAYA PUBLICATION|Exercise Very short answer type questions|33 Videos

  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (Assertion-Reason Type)|2 Videos

  • SIGNIFICANCE OF DERIVATIVE AS RATE OF CHANGE

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITVE EXAMINATION|20 Videos

Similar Questions

Explore conceptually related problems

Let S={1,2,3,4,5} be the universal set and let A={3,4,5} and B={1,4,5} be two of its subsets. Verify : (AcupB)'=A'capB' (dash denotes complement).

If A={a,b,c,d} and B={b,c,d,e} be two sets then_____

If S={1,2,3,4,8,16,32} be the universal set and A={1,2,8,32}, B={4,8,32} be two of its subsets, verify that, (AcapB)^c=A^c cup B^c

If S={1,2,3,4,8,16,32} be the universal set and A={1,2,8,32}, B={4,8,32} be two of its subsets, verify that, (A cupB)^c=A^c capB^c

If U={a,b,c,d,e,f} be the universal set and A,B,C are three subsets of U, where A={a,c,d} and B cupC={a,d,c,f} , find (A capB) cup(A capC) and

If S = {a,b,c,d,e,f} be the universal set and A,B,C are three subsets of S, where A={a,c,d,f},BcapC ={a,b,f} , find (A cup B) cap (A cup C)and B' cup C'.

If U={a,b,c,d,e,f} be the universal set and A,B,C are three subsets of U, where A={a,c,d} and B cupC={a,d,c,f} , find (B' capC')

If A = {a,b,c} and B= {b,c,d} then evaluate A cupB,A capB,A-B and B-A

If A and B are two disjoint sets then n(A cupB)=

If A,B,C be three subsets of the universal set S where S={1,2,3,4,5,6,7},A={1,3,5,6} and BcapC={1,2,6} , find (A cupB) cap(A cupC) and B^c cupC^c.

CHHAYA PUBLICATION-SET THEORY -Short answer type questions
  1. Define three sets P,Q and R such that PcapQnephi,QcapR ne phi, R capP ...

    Text Solution

    |

  2. Let A,B and C be three sets. If A in B and B subC, is it true that A s...

    Text Solution

    |

  3. Let S={a,b,c,d,e} be the universal set and let A={a,b,d}and B={b,d,e} ...

    Text Solution

    |

  4. Let S={1,2,3,4,5,6} be the universal set. Let A cupB={2,3,4}, find A^c...

    Text Solution

    |

  5. If aNN={ax:x inNN}, describe 3NN cap7 NN where NN is the set of natura...

    Text Solution

    |

  6. Let A,B and C be three sets. Show by means of examples that each of th...

    Text Solution

    |

  7. Let A,B and C be three sets. Show by means of examples that each of th...

    Text Solution

    |

  8. Let A,B and C be three sets. Show by means of examples that each of th...

    Text Solution

    |

  9. For any two sets A and B, prove the following : (B-A) capA=phi

    Text Solution

    |

  10. For any two sets A and B, prove the following : A^c-B^c=B-A

    Text Solution

    |

  11. For any two sets A and B, prove the following : A-B=A-(AcapB)

    Text Solution

    |

  12. For any two sets A and B, prove the following : A-B=AcapB'

    Text Solution

    |

  13. For any two sets A and B, prove the following : B-A^c =AcapB

    Text Solution

    |

  14. For any two sets A and B, prove the following : B sube(A-B)^c

    Text Solution

    |

  15. For any two sets A and B, prove the following : (A cupB)-(AcapB)=(A-...

    Text Solution

    |

  16. For any two sets A and B, prove the following : (A-B)cup(AcapB)=A

    Text Solution

    |

  17. Let ZZ be the set of integers and A={x:x =6n, n in ZZ},B={x : x =4n,n ...

    Text Solution

    |

  18. Using set operations find the H.C.F. of the numbers 12, 15 and 18.

    Text Solution

    |

  19. Applying set operations find the L.C.M. of the numbers 15, 25 and 30.

    Text Solution

    |

  20. If r,s,t are prime numbers and p,q are the positive integers such that...

    Text Solution

    |