in Mathematical Logic
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Let R be the relation on the set ‘N’ of strictly positive integers, where strictly positive integers x and y satisfy x R y iff

x^2 – y^2 = 2^k

for some non-negative integer k. Which of the following statement is true with respect to R?

 

I think it’s just reflexive, because it obeys reflexive conditions.

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4 Comments

Not reflexive, not symmetric, not transitive.
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@Tejasvi96 to be reflexive $x^2 - x^2 $should be equal to $2^k$ for some k. Which is not possible

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yeah it will be neither reflexive nor transitive. I misunderstood  2^k as 2*k...
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@Tejasvi96

@Kunal Kadian

Thanks I missed that part.

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