Question: (a) Show that the class P is closed under union, intersection, and complement. That is, for any A, B EP, we have that: AUB, An

(a) Show that the class P is closed under union, intersection,

(a) Show that the class P is closed under union, intersection, and complement. That is, for any A, B EP, we have that: AUB, An B,A e P. (b) Give three problems in class P that are different from the lecture slides. For each of these problems, provide a polynomial-time algorithm that decides the language, and give (with justification) the time complexity of the algorithm. (c) Show that NP is closed under union and inter

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