Question

\( {(x,y) \in Z x Z: x+y = 10} \)
Is this reflexive and transitive?

Answer 1

its only reflexive when x =5 so I am assuming that it isnt reflexive

Answer 2

I mean it doesnt seem transitive too me but what do u guys think?

Answer 3

2 + 8 = 10
8 + 2 = 10

Answer 4

u r right! it isn't reflexive

Answer 5

okkkkk

Answer 6

no like it cant be transitive

Answer 7

it isn't transitive either.look at the example of @experimentX

Answer 8

righhtttt yaaa

Answer 9

well ... solved!!

Answer 10

Great. Thanks guys :DDDDDDDDDDDDDD

Answer 11

so like r u sure its not reflexive?

Answer 12

yes

Answer 13

ok

Answer 14

It is not reflexive.

Answer 15

the definition is
\[ \large (\forall a\in\mathbb{Z})(aRa) \]
but, as u pointed out, only 5 satisfies this

Answer 16

Thannkkksssss