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COT3100 S23 Exam 1 Stuti Goyal TOTAL POINTS 83 / 120 QUESTION 1 Q1 12 pts 1.1 i) 2 / 2 ✓ - 0 pts Correct - 2 pts Incorrect. This is one of De Morgan's Laws - 2 pts Ambiguous answer. 1.2 ii) 2 / 2 ✓ - 0 pts Correct - 2 pts Incorrect. This is Specialization. 1.3 iii) 2 / 2 ✓ - 0 pts Correct - 2 pts Incorrect. This is Elimination. - 2 pts Ambiguous answer 1.4 iv) 0 / 2 - 0 pts Correct ✓ - 2 pts Incorrect. This is Transitivity. - 2 pts Ambiguous Answer 1.5 v) 2 / 2 ✓ - 0 pts Correct - 2 pts Incorrect. This is Generalization. 1.6 vi) 0 / 2 - 0 pts Correct ✓ - 2 pts Incorrect. This is Division into Cases. QUESTION 2 2 Q2 3 / 6 - 0 pts Correct ✓ - 3 pts Net 1 Incorrect - 6 pts Net $$\geq2$$ Incorrect QUESTION 3 Q3 12 pts 3.1 Equivalent to Conditional 6 / 6 - 2 pts Wrong Conditional - 2 pts Wrong Eq. Disjunction - 2 pts Wrong Contrapositive ✓ - 0 pts Correct 3.2 Negation 0 / 2 - 0 pts Correct ✓ - 2 pts Incorrect 3.3 Converse/Inverse 4 / 4 ✓ - 0 pts Correct - 2 pts Wrong Converse - 2 pts Wrong Inverse QUESTION 4 4 Q4 0 / 6 - 0 pts Correct

- 3 pts Net 1 Incorrect ✓ - 6 pts Net $$\geq2$$ Incorrect QUESTION 5 Q5 12 pts 5.1 (a) 6 / 6 - 1 pts One incorrect - 2 pts Two incorrect - 3 pts Three incorrect - 4 pts Four incorrect - 5 pts Five incorrect - 6 pts Six incorrect ✓ - 0 pts Correct 5.2 (b) 5 / 6 ✓ - 1 pts One incorrect - 2 pts Two incorrect - 3 pts Three incorrect - 4 pts Four incorrect - 5 pts Five incorrect - 6 pts Six incorrect - 0 pts Correct QUESTION 6 6 Q6 4 / 4 ✓ - 0 pts Correct. Revealed w/ a truth table or other possibly quicker ways such as guessing values or writing each in respective equivalent forms that are evidently not equivalent to each other. - 4 pts Incorrect. $$\rightarrow$$ is neither associative nor commutative (or we would have observed as much in our discussion). Transitivity does not make sense in context (apply how?). That leaves not being logically equivalent, which can be revealed in a number of ways. QUESTION 7 Q7 9 pts 7.1 (a) and (b) 6 / 6 ✓ - 0 pts Correct - 6 pts Blank - 3 pts Wrong (a) - 2 pts Wrong (a) b/c bad sign change. - 3 pts Wrong (b) - 2 pts Wrong (b) b/c bad sign change. - 2 pts You were right the first time. - 1 pts Not a conjunction 1 These are equivalent. The inequality is what we are looking for in the context of Chapter 2. 7.2 (c) 0 / 3 - 0 pts Correct ✓ - 3 pts Incorrect - 2 pts Used Conjunction (possibly implied/ambiguous) - 0 pts Used union symbol instead of disjunction/or but correct - 1 pts Clarity QUESTION 8 8 Q8 7 / 8 ✓ - 0 pts Correct ✓ - 1 pts Didn't state every equivalences used - 2 pts Tried to use proper relevant equivalences but made minor mistakes - 3 pts Some relevant equivalences stated/showed and used correctly

+ 0 pts Left blank + 0 pts Not enough work for any credit Page 4

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