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.