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The relation P defined from R to R as a P b 1 + ab > 0, for all a, b R is
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Text solutionVerified
i)Reflexive: for any real value except 0 is positive.Hence
ii)Symmetric: if then will also be
iii)Not Transitive: a=-2,b=0\Rightarrow -2\times 0+1>0b=0,c=4\Rightarrow 0\times 4+1>0\because a=-2,c=4\Rightarrow -2\times 4+1<0$$
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Given a relation on the set of natural numbers,Find the minimum number of ordered pairs should be added so that the enlarged relation is symmetric,transitive and reflexive.Stuck on the question or explanation?
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Question Text | The relation P defined from R to R as a P b 1 + ab > 0, for all a, b R is |
Answer Type | Text solution:1 |
Upvotes | 150 |