2-4. Let X be a topological space and let A be a collection of subsets of X. Prove the following containments. (a) N A ≤NĀ. AEA AEA (b) U 42 UĀ. AEA AEA (c) Int (N₁) ≤n 드 AEA Int A. AEA (d) IntUAU Int A. (UA) AEA AEA When A is a finite collection, show that equality holds in (b) and (c), but not necessarily in (a) or (d).

Q: (1) Let X be an infinite set and set r to be the set given by T = {0} U {U C X : U° finite}. (a)…

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