Let R and S be reflexive relations on a set A. Prove or DisProve:

a) R union S

b) R intersection S

c) The composition of R and S is Reflexive.

I am not sure how to state the proof exactly:

This is what i have for part a):

All the elements that are in R and S are also in R u S

this (a,b) in RuS implies that (b,a) is also in RuS.

I am not sure how to fill in all the details.

Thanks