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for x,y\epsilon R.xRy is a relation that \left | x \right |= \left | y \right |, where R is an equivalence relation. Find [5]

  • Option 1)

    {5}

  • Option 2)

    {0}

  • Option 3)

    {-5,5}

  • Option 4)

    {-5}

 

Answers (1)

best_answer

As we learnt

 

equivalent classes -

 

An important property of an equivalence relation is that it divides the set into pairwise disjoint subsets called equivalent classes whose collection is called a partition of the set.

-

 

 [5]={x\inR||x|=5} \Rightarrow x= \pm 5

 


Option 1)

{5}

Option 2)

{0}

Option 3)

{-5,5}

Option 4)

{-5}

Posted by

Himanshu

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