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2. (10 points) Find examples of languages satisfying each of the following properties (briefly jus- tifying why they do), or prove that no such language

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2. (10 points) Find examples of languages satisfying each of the following properties (briefly jus- tifying why they do), or prove that no such language exists. (a) An unrecognizable language whose complement is finite. (b) A context-free language that is undecidable. (c) A recognizable language with an unrecognizable subset. (d) An undecidable language that is recognizable. e) An undecidable language that is unrecognizable

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