Question: Let A, B, and C be languages over some alphabet . For each of the following statements, answeryes if the statement is always true, and

Let A, B, and C be languages over some alphabet . For each of the following statements, answer"yes" if the statement is always true, and "no" if the statement is not always true. If you answer "no," provide a counterexample. a) A(BC) S (AB)C b) A(BC) 2 (AB)C c) A(BUC) S AB U AC d) A(BUC) 2 AB U AC e) A(BOC) S ABN AC f) A(BOC) 2 AB NAC g) A* UB* S (AUB)* h) A* UB* 2 (AUB)* i) A*B*

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