In: Advanced Math
For each part below, find a binary relation on the set S = {1,2,3,4} that satisfies the given combination of properties
a) reflexive, symmetric, and transitive
b) not reflexive, but symmetric and transitive
c) not symmetric, but reflexive and transitive
d) not transitive, but reflexive and symmetric
e) neither reflexive nor symmetric, but transitive
f) neither reflexive nor transitive, but symmetric
g) neither symmetric not transitive, but reflexive
h) not reflexive, not symmetric, and not transitive