Mark each statement True or False. Justify each answer.
(a) Every nonempty subset of ℕ contains a minimum.
(b) Every nonempty subset of ℕ contains a maximum.
(c) If x and y are irrational, then xy is irrational.
(d) Between any two unequal rational numbers there is an irrational number.
(e) Between any two unequal irrational numbers there is a rational number.
(f) The rational and irrational numbers alternate, one then the other.
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