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5. Prove or disprove the following: (a) For any undecidable language L and finite language L2, their union L U L2 is undecid- able. (b)

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5. Prove or disprove the following: (a) For any undecidable language L and finite language L2, their union L U L2 is undecid- able. (b) For any undecidable language L and decidable language L2, their union Li U L2 is undecidable

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