Question 2 (Block I Unit 1) – 20 marks You should be able to answer this question after you have studied Block I Unit 1. Let U = f1; 2; 3; :

Question 2 (Block I Unit 1) – 20 marksYou should be able to answer this question after you have studied Block I Unit 1.LetU = f1; 2; 3; :::; 10gbe the universal set, and let A = f1; 4; 7; 10g ; B = f1; 2; 3; 4; 5g and C = f2; 4; 6; 8g be threesubsets of U:(1) Verify thatA [ B= A B without using Venn diagram. [3](2) Find the following sets:(a)A [ B C: [2](b) (A B) [ C: [3](c) A 4B [ C: [4](3) Find the following sets:(a) (C A) C: [2](b) (A B) (B C) (C A): [3](4) Find the power set P ((A B) [ (B C)): [3