Question: Question.7. .Consider the statement, For all integers a, b, and c, if a b. and b*|c, then a |c.91 A.>What is the universe of

Question.7. .Consider the statement, " For all integers a, b, and c, if a b. and b*|c, then a |c."91 A.>What is the universe of discourse for this statement?1 B. What is the hypothesis for this statement? (In a direct proof, you. would assume the hypothesis.) 11 C. Use the definition of "plq" to write the hypothesis in equation form. " D. What is the conclusion for this statement? (In a direct proof, you. would attempt to derive the conclusion.) E.>Use the definition of "p|q" to write the conclusion in equation form. without overworking variables. 1 Question-8. .Use your responses in question.7 and some algebraic. manipulations to prove the statement, "For all integers a, b, and c, if a2lb and b3|c, then a|c."91

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