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An integer m is said to be related to...

An integer `m` is said to be related to another integer `n` if `m` is a multiple of `n` . Check if the relation is symmetric, reflexive and transitive.

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Here, `R = {(m,n):a,b in Z and m` is a multiple of `n}`
For all `a in R`,
`=> a` will be multiple of `a`.
`:. (a,a) in R`.So, `R` is refexive.

Since in `R` for every `(a,b) in R`
`=> a` is a multiple of `b`.> ...
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Knowledge Check

  • An integer m is said to be related to another integer n if m is a multiple of n .Then the relation is

    A
    reflexive and symmetric
    B
    reflexive and transitive
    C
    symmetric and transitive
    D
    an equivalence relation
  • An integer m is said to be related to another integer n if m is a multiple of n .Then the relation is

    A
    reflexive and symmetric
    B
    reflexive and transitive
    C
    symmetric and transitive
    D
    an equivalence relation
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