Home
Class 12
MATHS
Let A,B and C be three sets. Show by mea...

Let A,B and C be three sets. Show by means of examples that each of the following statements is true:
if `B inA and x inB" then "x in A`

Text Solution

Verified by Experts

The correct Answer is:
If `A={y,{x},z},B={x}" then, "B in A and x in B` but `x in A.`
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 A,B and C be three sets. Show by means of examples that each of the following statements is false: if B subA and Ain C" then "BinC

Let A,B and C be three sets. Show by means of examples that each of the following statements is false: if A cancelsubB and B cancelsubC" then "A cancelsubC

Examine whether the following statements are true or false: { a, b } ⊄ { b, c, a }

Let f(x)= sin x +ax +b , then which of the following is/are true-

Let A, B, C be any three non-empty sets. If A uuB= A uuC, then which one of the following is denfinitely true ?

Given A,B,C are three sets. State which of the followings are true____

Which of the following sentences are statements ? Give reason for your answers If x inAcapB, " then "x inB.

If for two sets A and B,A-B=A then which of the following is true?

State whether each of the following sets is finite or infinite : B = { x : x is real and -1 le x lt 1}

Let A={a,b,c} and B= {1,2,3} be two sets, then which of the following is a relation from A to B ?

CHHAYA PUBLICATION-SET THEORY -Short answer type questions
  1. Let S={1,2,3,4,5,6} be the universal set. Let A cupB={2,3,4}, find A^c...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. Using a Venn diagram or otherwise, solve the following problem: In a...

    Text Solution

    |

  19. Use a Venn diagram to solve the following problem: In a statistical ...

    Text Solution

    |

  20. A market research group conducted a survey of 1000 consumers and repor...

    Text Solution

    |