(a) Find a single example for the four sets so that all four of the following properties are true at the same time. Be clear and make.sure vou 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. i. (Z1u Z2) c Z4. ii. (Z2 u Z3) c Z4. iii. Vi + je {1,2,3}, Z¡ n Z; = Ø. iv. (Z, u Z2 U Za)n Z = 0. (b) Is there a relationship that you can specify between the four sets Z1, Z2. Z3, and くな、。 acolate.

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