Home
Class 11
MATHS
For any two sets A\ a n d\ B ,\ prove t...

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

Text Solution

Verified by Experts

we have to prove `A∩B⊂A`

∵ `A∩B` is set of all that elements that belongs to both `A` and `B`. Hence, all elements of `A∩B` contained in `A`.

Hence, `A∩B⊂A` ​
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

For any two sets A and B, prove that A nn B sub A

For any two sets A and B, prove that A sub B rArr A nn B=A

For any two sets A and B , prove that : (A-B)uu(B-A)=(AuuB)-(AcapB) .

For any two sets A and B, prove that A uu B=A nn B hArr A=B

For any two sets of A and B, prove that: A'uu B=U rArr A sub B

For any two sets A and B, prove that : (i) (A-B)cupB=AcupB (ii) (A-B)capB=phi

For any two sets A and B, prove that : (i) (A capB)cup(A-B)=A (ii) A cup(B-A)=A cupB .

For any two sets A and B, B' - A' = ?

For any two sets A and B, prove that A nn B=varphi rArr A sube B'

For any two sets A and B, prove that: A nn B=phi rArr A sube 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. For any two sets A\ a n d\ B ,\ prove that BsubAuuB

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. Prove that Auu (Ann B)= A

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. For any two sets A and B prove the following: Ann(A^(\ )uuB)'=varphi

    Text Solution

    |

  19. In a class of 35 students, 24 like to play cricket and 16 like to p...

    Text Solution

    |

  20. In a group of 50 people, 35 speak Hindi, 25 speak both English and ...

    Text Solution

    |