Home
Class 12
MATHS
List the members of the equivalence rela...

List the members of the equivalence relation defined by `{{1},{2},{3,4}}` partitins on X={1,2,3,4}.Also find the equivalence classes of 1,2,3 and 4.

Text Solution

Verified by Experts

The equivalence relation is `R={(1,1),(2,2),(3,3),(4,4),(3,4),(4,3)}`
`[1]={1},[2]={2},[3]={3,4} "and" [4]={3,4}`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    MBD PUBLICATION|Exercise QUESTION BANK|171 Videos

  • RELATIONS AND FUNCTIONS

    MBD PUBLICATION|Exercise QUESTION BANK|106 Videos

Similar Questions

Explore conceptually related problems

Find the number of equivalence relations on x = {1,2,3 } .

Find the number of equivalence, relations on X ={1,2,3),

Write the smallest equivalence relation on A = {1,2,3}.

Find all possible equivalence relations on X={1,2,3}

Let R is the equivalence in the set A = {0, 1, 2, 3, 4, 5} given by R = {(a, b) : 2 divides (a - b)}. Write the equivalence class [0].

Let A (1,2,3). Then, find the number of equivalence relations containing (1,2).

Let R be the relation on the set R of real numbers such that aRb iff a-b is and integer. Test whether R is an equivalence relation. If so find the equivalence class of 1 "and" 1/2 wrt. This equivalence relation.

MBD PUBLICATION-RELATION AND FUNCTION-QUESTION BANK
  1. Test whether the relations are reflexive, symmetric or transitive on t...

    Text Solution

    |

  2. Test wheter relations are reflexive, symmetric or transitive on the se...

    Text Solution

    |

  3. List the members of the equivalence relation defined by {{1},{2},{3,4...

    Text Solution

    |

  4. List the members of the equivalence relation defined by {{1,2,3},{4}} ...

    Text Solution

    |

  5. List the members of the equivalence relation defined by {{1,2,3,4}} pa...

    Text Solution

    |

  6. Show that if R is an equivalence relation on X then dom R=rngR =X.

    Text Solution

    |

  7. Given an example of a relation which is reflexive, symmetric but not...

    Text Solution

    |

  8. Given an example of a relation which is reflexive, transitive but n...

    Text Solution

    |

  9. Given an example of a relation which is symmetric, transitive but no...

    Text Solution

    |

  10. Given an example of a relation which is reflexive but neither symmet...

    Text Solution

    |

  11. Given an example of a relation which is transitive but neither refle...

    Text Solution

    |

  12. Given an example of a relation which is an empty relation.

    Text Solution

    |

  13. Given an example of a relation which is a universal relation.

    Text Solution

    |

  14. Let R be a relation on X, If R is symmetric then xRy impliesyRx. If it...

    Text Solution

    |

  15. Suppose a box contains a set of n balls (n gt 4)(denoted by B )of four...

    Text Solution

    |

  16. Find the number of equivalence, relations on X ={1,2,3),

    Text Solution

    |

  17. Let R be the relation on the set R of real numbers such that aRb iff a...

    Text Solution

    |

  18. Find the least positive integer r such that 185 in [r]7

    Text Solution

    |

  19. Find the least positive integer r such that -375 in [r]11

    Text Solution

    |

  20. Find the least positive integer r such that -12 in [r]13

    Text Solution

    |