This is for discrete math R is symmetric For all xye4ifsRyth

This is for discrete math:

R is symmetric For all x.ye4.ifsRy.then yRx R is transitive es For all uceA.if Ry and yR, then Ra. Let R-o3,2),(3,3).(4.4)] be a relation on A 12.3,4. (13 pts) a) Draw the direstiod graph of R. b) Is R reflexive IEnot, give a pounterexample. 2 No, 2 F2 c) Is R symmetric? If not a counterexample Nd ) Is R transi 4 tive? If not, give a counterexample. 2 ir-elevat

Solution

R is symmetric if for all x,y A, ( x,y ) R implies ( y,x ) R

here not like this property

   so it is not a symmetric. because (2,3),(4,1) are missing

d) no transtive

    R is transitive if for all x,y,z A, ( x,y ) R and (y,z ) implies ( x,z ) R.

here (4,1),(2,3) are missing