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If R and R' are symmetric relations (not...

If R and R' are symmetric relations (not disjoint ) on a set A then the relation R `cap` R' is not

A

reflexive

B

symmetric

C

transitive

D

equivalence

Text Solution

Verified by Experts

The correct Answer is:
A, C, D
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Knowledge Check

  • Let R be a relation from set A do a set B, then_____

    A
    `R=AcupB`
    B
    `R= A cap B`
    C
    `RsubeA xxB`
    D
    `R subeBxxA`

  • If R is a relation from a set A to t B and S is a relation form B to a set C then the relation S o R

    A
    is from A to C
    B
    is from C to A
    C
    does not exist
    D
    none of these

  • Let A={1,2,3} and R be a relation defined on A, such that, R{(1,2),(2,1)}, then the relation R will be

    A
    reflexive
    B
    symmetric
    C
    transitive
    D
    None of these

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    Let R and S be two relations on a set A. If (i) R and S are both symmetric on A prove that R cup S and R cup S are also symmetric on A

    Let A be a family of sets and let R be the relation on A defined by X is disjoint from Y . State whether or not R is transitive on A

    Let A be a family of sets and let R be the relation on A defined by X is disjoint from Y . State whether or not R is symmetric on A

    Let A be a family of sets and let R be the relation on A defined by X is disjoint from Y . State whether or not R is reflexive on A

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