If A={0,1,2...9} and the relation R on A is defined by R={(x,y):x,y belong to A,y=2x+y},then determine whether the relation R is 1)reflexive 2)symmetric 3)transitive Please specify the reason also.
It woukd be symmetric because both the sides y will cancel out and x=0 and thus relation would be r={0,0} which could also be written as r={(0,0) (0,0)} which is symmetric.