Solved example - reflexive, symmetric and transitive | Relations and Functions | XII | Khan Academy

In this video, we will look at some sets and identify if they are reflexive, symmetric or transitive, or none of these.
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Created by
Aakash Singh Bagga

[@BhagwatiRaikwar-x2d]

1:30 but sir ,here (0,0) can be possible 🤔🤔

[@dynaspinner64]

It doesn't matter if one set of elements meets the criteria for being reflexive. All integers to itself must add up to 0 but they don't, except for 0 of course. Since only 0 is the exception, the set can't be reflexive. Do remember that in this case, the entire integers are our elements, not just 0.

[@pritigupta2255]

Sir in transitive (0,0) can be possible because we have to take integers

[@dynaspinner64]

You are correct that (0,0) is possible. But sir said in general a+c is not equal to zero. If we take a, b and c as 0, it will satisfy the condition. But for anything other than that, it won't. Check the previous lesson for transitive relations. If we find a pair such that (a,b), (b,c), (a,c) must be present. If it isn't, it will not be transitive.