= (a) (2 marks) Let A = {x Zx 3} and B following sets (no explanation...

 

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= (a) (2 marks) Let A = {x Zx 3} and B following sets (no explanation required)? i. AUB ii. An B iii. (ANB) UA iv. A\B v. B\A vi. BUBUB {-4, -2,2,4}. What is the cardinality of the (b) (5 marks) Let A, B, and C be three sets. For the union AUB, we have |AUB| = |A|+|B|-|AnB|. What is the cardinality of the union AU BUC? Be as detailed as possible in your explanation. (c) (3 marks) Let A and B be two sets. Show that An (AUB) = A. = (a) (2 marks) Let A = {x Zx 3} and B following sets (no explanation required)? i. AUB ii. An B iii. (ANB) UA iv. A\B v. B\A vi. BUBUB {-4, -2,2,4}. What is the cardinality of the (b) (5 marks) Let A, B, and C be three sets. For the union AUB, we have |AUB| = |A|+|B|-|AnB|. What is the cardinality of the union AU BUC? Be as detailed as possible in your explanation. (c) (3 marks) Let A and B be two sets. Show that An (AUB) = A.