Question: Please solve #4. Definition 2.6 (Monotone Class). Let X be a nonempty set. A monotone class (of sets) on X is a nonempty collection /

Please solve #4.

Definition 2.6 (Monotone Class). Let X be a nonempty set. A monotone class (of sets) on X is a nonempty collection / of subsets of X such that, if (An)meN is a monotone sequence in A, then lim An E At (closedness under the limits of monotone set sequences). n-+00 4 14 points (a) Show that N := {[m, n] |m, n EZ, m

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