Question

The relation set R= {(1,5)(5,1),(1,1) on the set
A={1,2,3,4,5}
Is this relation reflexive?

Answer 1

ok my problem with this one is that does the relation set need to be reflexive for every element in A?

Answer 2

like it is only reflexive for 1
i mean its def not reflexive

Answer 3

right

Answer 4

but what abt symmetry itss not symmetric for every point in A but the relation set is symmetric like (1,50 ---> (5,1)
and (1,1) ---> (1,1)

Answer 5

as i said before. a relation is reflexive if every element of the set is related with itself

Answer 6

it's symmetric + transitive

Answer 7

ohhh so we r only looking at the relation set not set A

Answer 8

It kinda makes no diff what is in A we only care abt the relation set

Answer 9

it is not transitive (assuming u wrote R completely)

Answer 10

ya that was completely

Answer 11

so it is not transitive because you have (5,1) and (1,5) but no (5,5)

Answer 12

aw ... i didn't note that

Answer 13

ohhhhh i seee okkkkkkk

Answer 14

yayyyyyyyyy

Answer 15

Thanks guyysssssssss

Answer 16

u r w

Answer 17

So basically when u wanna determine if the relation is symmetric transitive or relexive u ignore the set A and u just look at the relation set to determine this

Answer 18

yep

Answer 19

when it comes to symetry and transitivity yes
but u cannot ingnore A for reflexivity

Answer 20

ohhhhhhh okkkk now i am gettting it :DDDDDDDDD