Hi im wondering if someone could give some advice for the following question on maths for computer science.

Student no. 5734952 1. Let U-1,2,3, 4, 5,6,7 be the universe. Form the set A as follows: Read off your seven digit student number from left to right. For the first digit n nclude the number 1 U in A if n is even otherwise omit 1 from A. Now take the second digit n2 and include the number 2 in A otherwise omit 2 from A. Continue in this way until you have read off all digits from your student number. For instance if your student number were 8206811 then A {1, 2, 3, 4, 5). If all digits of your student number are odd, set A = U Let B 1,2,7 and C 3,4,5,6. Write down AUB, A-C, A, AnB 2. Let B, C be subsets of a universe U. Prove that C-B = B-C 3. Let A, B be subsets of a universe U. Use the rules of set manupulation to simplify Ann(AUB, AnUUA into expressions involving A, B, A, B only 4. Let D-(0, 1, 2. 3. 4. 5, 6, 7, 8, 9} and S-(1, 2. 3. 4. 5, 6, 7). Define R C S x D by R-,i),..., (7,n) where your student number is ni...n7 For instance if your student number were 8208611 then R (1,8), (2, 2), (3,0), (4,8), (5, 6), (6,1), (7,1)) (i) Explain why R a function from S to D (ii) What is the domain and range of R? (iii Is R surjective? (iv) Is R one-to-one? v) Explain why R is not an equivalence relation