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Show that if R is an equivalence relatio...

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

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Let R is an equivalence relation on X .
`implies R "is reflexive"`
`implies(x,x)in R AA x in X `
`implies "Dom" R="Rng" R=X`
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MBD PUBLICATION-RELATION AND FUNCTION-QUESTION BANK
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  2. List the members of the equivalence relation defined by {{1,2,3,4}} pa...

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

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

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

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

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

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

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

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

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

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

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

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