(a) Define a relation on the set R of all real numbers, such that it is not symmetric, not reflexive, and not transitive.
(b) Define a relation on R which is transitive and refexive, but not symmetric.
(c) Define an equivalence relation on R.
(d) Determine the equivalence classes [0] and [1] according to the equivalence relation you defined in ©.
Please be specific on why it is and why it is not a transitive, reflexive or symmetric