Symmettric and Antisymmettic relations

These are two relations which are not both or none

Only equality is both Some are neither Many are only one or the other

Symmettry
Symmettry basically means if b r a then a r b. In other words each symmettrical relation goes both ways.

(5, 2) implies (2, 5)

Antisymmettry
Only one that doesn't involve adding elements to relations

if (i, j) then (j, i)