2. (20%) Let X1, X2, and X3 be sets. Assume that all three sets are nonempty. (a) Find a single example for sets X1, X2 and X3, so that all of the following properties are true (simultaneously). 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. i. XinX2 = 0 ii. XznX3 = 0 iii. X3 c (XIUX2) 3 (b) Is X1, X2 and X3 a partition for U Xi? i=1