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F 4. Using only the and the operators, find a logical expression that is equivalent to (p A-r) c. For this question, you do not need to specify "how" you found the equivalent expression because you will show both techniques in questions 5 and 6 below. (0.5 marks) 5. Prove that the expression you found for question 4 above is equivalent to the expression -(p Ar) →c by using only truth tables. Show all your work and do not skip any steps (i.e., ensure you that you include a new column for every single operation). (4.0 marks) 6. Prove that the expression you found for question 4 above is equivalent to the expression -(p Ar)c by using only the logical equivalences. Show all your work, labelling each rule used, and do not skip any steps. (4.0 marks) F 4. Using only the and the operators, find a logical expression that is equivalent to (p A-r) c. For this question, you do not need to specify "how" you found the equivalent expression because you will show both techniques in questions 5 and 6 below. (0.5 marks) 5. Prove that the expression you found for question 4 above is equivalent to the expression -(p Ar) →c by using only truth tables. Show all your work and do not skip any steps (i.e., ensure you that you include a new column for every single operation). (4.0 marks) 6. Prove that the expression you found for question 4 above is equivalent to the expression -(p Ar)c by using only the logical equivalences. Show all your work, labelling each rule used, and do not skip any steps. (4.0 marks)

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