Mark each statement True or False. Justify each answer. (a) (a, b) = (c, d ) iff a = c and b = d. (b) A relation between A and B is an ordered subset of A × B. (c) A × B = {{a, b}: a ∈ A and b ∈ B}....

Mark each statement True or False. Justify each answer.

(a) (a, b) = (c, d ) iff a = c and b = d.

(b) A relation between A and B is an ordered subset of A × B.

(c) A × B = {{a, b}: a ∈ A and b ∈ B}.

(d) A relation is an equivalence relation if it is reflexive, symmetric, and transitive