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Question
The minimum number of elements that must be added to the relation R = {(1,2),(2,3)} on the subset of natural numbers so that is an equivalence is
The minimum number of elements that must be added to the relation R = {(1,2),(2,3)} on the subset of natural numbers so that is an equivalence is
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Solution
The correct option is B 7
To make R reflexive we need to add (1,1),(2,2),(3,3)
To make R symmitric we need to add (2,1),(3,2)
To make R transitive we nee to add (1,3),(3,1)
7
To make R reflexive we need to add (1,1),(2,2),(3,3)
To make R symmitric we need to add (2,1),(3,2)
To make R transitive we nee to add (1,3),(3,1)
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8
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