MATH135 Study Guide - Final Guide: Prime Power, Diophantine Equation, Rational Root Theorem
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002 (cid:3) 001, 010 (cid:3) (cid:3) (cid:3) (cid:3) 007 (cid:3) (cid:3) (cid:3) (cid:3) (cid:3) (cid:3) 011, 012 (cid:3) Marking scheme: fill in your name, id number, sec- tion, and sign the paper, check that there are 15 sheets, answer all questions in the space provided. Page 2 of 15: in each of the given cases, assume that it has been established that the given implication is true. A : paris is the capital of france. Here, statement a is true tells us that the conclusion of the given implication is satis ed. On the other hand, statement b corresponds to the negation of the hy- pothesis of the given implication. Overall, we are assuming that the given implication is true. As a result, we are not able to determine the truth value of b. (b) implication : if i solve every problem in the test, then i will ace the exam. A : i solved every problem in the test.