Home
Class 11
MATHS
Show that if A sub B, then C- B sub C - ...

Show that if `A sub B`, then `C- B sub C - A`

Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    V PUBLICATION|Exercise QUESTIONBANK|140 Videos
  • STATISTICS

    V PUBLICATION|Exercise QUESTION BANK|45 Videos

Similar Questions

Explore conceptually related problems

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

If A and B are two sets such that A sub B ,then A uu B is a)A b)Null set c)B d) {O/}

In each of the following , determine whether the statement is true or false. If it is true, prove it. If it is false, give an example. If A sub B and B sub C , then A sub C

In each of the following , determine whether the statement is true or false. If it is true, prove it. If it is false, give an example. If A sub B and B in C , then A inC

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

Show that the relation R on the set N xx N defined by (a, b)R(c, d) iff a d(b+c)=b c(a+d) is an equivalence relation.

Let A = {a,b}, B = {a,b,c}. is A sub B ? What is A cup B ?

V PUBLICATION-SETS-QUESTION BANK
  1. In each of the following , determine whether the statement is true or ...

    Text Solution

    |

  2. Let A,B and C be the sets such that A cup B = A cup C and A cap B = A ...

    Text Solution

    |

  3. Show that if A sub B, then C- B sub C - A

    Text Solution

    |

  4. Show that the following four conditions are equivalent: i) A sub B i...

    Text Solution

    |

  5. Assume that P (A) = P (B).Show that A = B

    Text Solution

    |

  6. Is it true that for any sets A and B , P (A) cup P (B) = P(A cup B)? J...

    Text Solution

    |

  7. Show that for any sets A and B. A=(A cap B) cup (A - B) and A cup(B - ...

    Text Solution

    |

  8. Using properties of sets, show that i) 'A ⋃(A ⋂ B)=A' ii) 'A ⋂(A ⋃ B)=...

    Text Solution

    |

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

    Text Solution

    |

  10. Let A and B be sets. If A cap X = B cap X = phi and A cup X = B cup X ...

    Text Solution

    |

  11. Find sets A,B and C such that A cap B,B cap C and A cap C are non-empt...

    Text Solution

    |

  12. In a survey of 600 students in a school,150 students were found to be ...

    Text Solution

    |

  13. In a group of students, 100 students know Hindi, 50 know English and 3...

    Text Solution

    |

  14. In a suryey of 60 people, it was.found that 25 people read newspaper' ...

    Text Solution

    |

  15. In a survey it was found that 21 people liked product A,26 liked produ...

    Text Solution

    |

  16. In a class of 35 students, 17 have taken mathematics, 10 have taken mä...

    Text Solution

    |

  17. In a group of 800 people, 550 can speak Hindi and 450 can speak Englis...

    Text Solution

    |

  18. If 'A' and 'B' ' be two sets containing 3 and 6 elements respectively,...

    Text Solution

    |

  19. If 'U={1,3,5,7,9,11,13,15}, A={1,5,11,13 , 15}', Find A'.

    Text Solution

    |

  20. If 'A={1,2,3} , B={3,4,-5}, C={1,8,9}'. Construct a ụniversal set 'U'

    Text Solution

    |