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can you help with this proofs (algebra) question. I only need help with question 5 (Q5) (9) The fact that There are complex numbers z

can you help with this proofs (algebra) question. I only need help with question 5 (Q5)

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(9) The fact that There are complex numbers z and w such that (z) = 1 and 20 = 1, but z / w. provides i(-i) = 1 TO) the statement S. - (EXAMPLE FOR, COUNTEREXAMPLE FOR, or NOTHING RELEVANT 19 marks Write your proof on the Answer Sheets, page 2 Q4. Let A and B be subsets of the universal sets U and V respectively. Denote by A' the complement of A in U and Be the complement of B in V. Prove that as subsets of U x V. [(A x V) U (U X B) | = Ax Be, Write your proofs on the Answer Sheets, page 3. Q5. Let A, B be subsets of a universal set U. Denote by (X) the power set of the set X Use three different methods to prove the implication statement: If A & B, then ( A) Z 9 ( B). [4 marks] (1) ( Direct proof) 5 marks (2) (Proof of its contrapositive) [5 marks) (3) (Proof by contradiction) QUESTIONS Write your answers to Question 6 on the Answer Sheets, page 4 Q6. Given a function f : A - A. where A is a finite set. Let re A and y E A be the variables for the following predicate statements in propositional logic

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