Home
Class 12
MATHS
Show that if A ⊂ B, then C – B ⊂ C – A....

Show that if `A ⊂ B`, then `C – B ⊂ C – A`.

Text Solution

Verified by Experts

The correct Answer is:
`implies` x`in`C-A
`implies` C-B`subset`C-A
Promotional Banner

Topper's Solved these Questions

  • SETS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|31 Videos
  • SETS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|21 Videos
  • SEQUENCES AND SERIES

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|105 Videos
  • STATISTICS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|40 Videos

Similar Questions

Explore conceptually related problems

Show that if f: A to B and g : B to C are one-one, then gof :A to C is also one-one.

Show that if f:A to B and g: B to C are onto, then gof :A to C is also onto.

In the given figure, A B | | D C and A D | | B C show that Δ A B C ≅ Δ C D A .

Show that points A ( a,b +c) , B( b,c+a) , C( c,a+b) are collinear.

Show that A ∩ B = A ∩ C need not imply B = C .

If A = (5,6),B = (4,5,6), C = (5,6,7), show that A xx A = (B xx B) cap (C xx C )

Let A, B, and C be the sets such that A ∪ B = A ∪ C and A ∩ B = A ∩ C . Show that B = C .

Show that A cap B=A cap C need not imply B=C.

Show that suma sin(B-C) =0

NEW JOYTHI PUBLICATION-SETS-QUESTIONS FROM COMPETITIVE EXAMS
  1. Show that if A ⊂ B, then C – B ⊂ C – A.

    Text Solution

    |

  2. If A and B are not disjoint sets then n(AcupB) is equal to

    Text Solution

    |

  3. In a city 20 percent of the population travels by car, 50 percent trav...

    Text Solution

    |

  4. Two finite sets have m and n elements. The total number of subsets of ...

    Text Solution

    |

  5. A class has 175 students. The following data shows the number of stude...

    Text Solution

    |

  6. Given n(U)=20, n(A)=12, n(B)=9, n(AcapB)=4, where U is the universal s...

    Text Solution

    |

  7. Two finite sets have m and n elements. The total number of subsets of ...

    Text Solution

    |

  8. If N(a)={an:ninN}, then N(5)capN(7)= (Here N is the set of natural n...

    Text Solution

    |

  9. Two finite sets have m and n elements respectively. The total number o...

    Text Solution

    |

  10. The number of elements in the set {(a,b):2a^(2)+3b^(2)=35, a,binZ}, wh...

    Text Solution

    |

  11. Let A={1,2,3,4}, B={2,4,6}. Then the number of sets C such that AcapBs...

    Text Solution

    |

  12. Let X and Y be the sets of all positive divisors of 400 and 1000 respe...

    Text Solution

    |

  13. In a certain town 25% families own a cell phone, 15% families own a sc...

    Text Solution

    |

  14. Two finite sets A and B have m and n elements respectively. If the tot...

    Text Solution

    |

  15. The shaded region in the figure represents

    Text Solution

    |

  16. If n(A)=8 and n(AcapB)=2, then n((AcapB)'capA) is equal to

    Text Solution

    |

  17. If the set A contains 5 elements, then the number of elements in the p...

    Text Solution

    |

  18. If n(A)=1000, n(B)=500 and if n(AcapB)ge1 and n(AcupB)=p, then

    Text Solution

    |

  19. If n(A)=43, n(B)=51 and n(AcupB)=75, then n((A-B)cup(B-A))=

    Text Solution

    |

  20. If A and B are non-empty sets such that AsupB, then

    Text Solution

    |

  21. Let X={1,2,3,.......,10} and A={1,2,3,4,5}. Then the number of subsets...

    Text Solution

    |