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In the set A={1,2,3,4,5} a relation R is...

In the set `A={1,2,3,4,5}` a relation `R` is defined by `R={(x,y)+x,yepsilonA` and `xlt}`. Then `R` is

A

reflexive

B

symmetric

C

transitive

D

equivalence

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • If A = {2,3,4,5,6) and R is a relation on set A defined by R= {(x, y): y=x+2, X, y in A} then

    A
    {(2,4), (3,5), (4, 6)}
    B
    {(4,2), (5,3), (6,4)}
    C
    {(2,4), (5,3), (4, 6)}
    D
    {(4,2), (3,5),(4,6)}

  • Let A = {1,2,3,4,5,6} and R be the relation defined on A by R = {(x, y): x, y in A, x divides y}, then range of R is

    A
    {2,3,4,5,6}
    B
    (1,2,3,4,5)
    C
    {2,4,6}
    D
    {1,2,3,4,5,6}

  • If R is a relation on the set A={1,2,3} defined by R={(1,2)} , then R is

    A
    reflexive
    B
    symmetric
    C
    transitive
    D
    none of these

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    Let R be a relation defined as R={(x,y) : y=sqrt((x-1)^2) , xepsilon Z and -3<=x<=3} Relation R is equals to :

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