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2. (20%) Let A, B, C, and D be non-empty sets. Find a single example for the four sets so that all five of the

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2. (20%) Let A, B, C, and D be non-empty sets. Find a single example for the four sets so that all five of the following properties are true at the same time. Be clear and make sure you specify the Universe of discourse. Illustrate, using your example, that each of the properties are indeed true. If no such example exists, clearly state so and explain why. (a) AcB. ( b ) Be * 0. (c) An B = C. (d) D c C. (e ) AnD = 0

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