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Unformatted text preview: Is the work correct? Is the answer correct? Explain. 6) Let p , q and r be statements. Are ( p ∧ q ) → r and ( ∼ p ) ∨ ( ∼ q ) ∨ r equivalent statement forms? Prove or disprove according to your answer. 7) Prove the following universal statement: ∀ integers n and m , if 7  ( nm ) then 7  ( n 3m 3 ). 3 8) Let p , q and r be statements. Is the following argument valid? Prove or disprove according to your answer. p → ( q ∨ r ) r → q ∴ q 9) Let p and q be statements. Circle all the statements below that are equivalent to p → q . (No explanations needed.) a) ( ∼ p ) → ( ∼ q ) b) ( ∼ q ) → ( ∼ p ) c) ( ∼ p ) ∨ q d) p ∨ ( ∼ q ) e) q → p 10) Prove: “ ∀ integer n ≥ 0: if 5  n then the decimal representation of n ends in 0 or in 5 ”...
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This test prep was uploaded on 04/15/2008 for the course M 324K taught by Professor Sofer during the Spring '08 term at University of Texas.
 Spring '08
 Sofer
 Math

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