Home
Class 11
MATHS
Let A={1,2,4,5}\ B={2,3,5,6}C={4,5,6,7} ...

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

Text Solution

Verified by Experts

`(B cap C)={x:x in B and x in C}`
`{5,6}`
`(A-( B cap C))`
`A-(b cap C)` is defined as `{x in A:x notin (B cap C)}`
...
Promotional Banner

Topper's Solved these Questions

  • RELATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|118 Videos

  • SINE AND COSINE FORMULAE AND THEIR APPLICATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|118 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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)

If A = {1,2,3,4,5},B={2,3,5,6}andC={4,5,6,7} , then verify that : Acap(B-C)=(AcapB)-(AcapC) .

If A={1,2,3,4},B={2,3,4,5} and C={4,5,6,7} , then find each of the following : (i) A - (B-C) (ii) (A- B) -C .

If ={1,2,3,4,5,6},B={4,5,6,7,8},C={4,5,6}, then A nn B

RD SHARMA-SETS-Solved Examples And Exercises
  1. Let A={1,2,4,5}\ B={2,3,5,6}C={4,5,6,7} . Verify the following identit...

    Text Solution

    |

  2. Let A={1,2,4,5}\ B={2,3,5,6}C={4,5,6,7} . Verify the following identit...

    Text Solution

    |

  3. Let A={1,2,4,5}\ B={2,3,5,6}C={4,5,6,7} . Verify the following identit...

    Text Solution

    |

  4. Let A={1,2,4,5}\ B={2,3,5,6}C={4,5,6,7} . Verify the following identit...

    Text Solution

    |

  5. Let A={1,2,4,5}\ B={2,3,5,6}C={4,5,6,7} . Verify the following identit...

    Text Solution

    |

  6. For any two sets A\ a n d\ B ,\ prove that BsubAuuB

    Text Solution

    |

  7. For any two sets A\ a n d\ B ,\ prove that AnnBsubA

    Text Solution

    |

  8. For any two sets A\ a n d\ B ,\ prove that AsubB=>AnnB=A

    Text Solution

    |

  9. Show that A nn B=A nn C need not imply B!=C

    Text Solution

    |

  10. Show that if A subB , then C" "-" "BsubC" "-" "A .

    Text Solution

    |

  11. Prove that Auu (Ann B)= A

    Text Solution

    |

  12. For any two sets, prove that:\ Ann(AuuB)=A

    Text Solution

    |

  13. Find sets A, B and C such that A nnB , B nnC and A nnC are nonempty ...

    Text Solution

    |

  14. For any two sets A\ a n d\ B , prove that AnnB=phi=>AsubeB^(prime)dot

    Text Solution

    |

  15. For any two sets of A and B, prove that: A^(prime)uuB=U=>AsubB

    Text Solution

    |

  16. Is it true that for any sets A and B, P (A) uuP (B) =P(Auu B) ? Just...

    Text Solution

    |

  17. If A and B are any two sets, then prove that (A nn B) uu (A-B)=A

    Text Solution

    |

  18. Show that for any set A and B A = (AnnB)uu(A-B) and Auu(B-A) = (AuuB...

    Text Solution

    |

  19. For any two sets A and B prove the following: Ann(A^(prime)uuB)=AnnB

    Text Solution

    |

  20. For any two sets A and B prove the following: A-(A-B)=AnnB

    Text Solution

    |