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UTK Notes


9.5.2023

Question 1: Which of the following propositions is the converse of $\neg p \rightarrow q$?

(3 points)

A. $\neg q \rightarrow p$
B. $\neg q \rightarrow \neg p$
C. $q \rightarrow \neg p$
D. $p \rightarrow \neg q$

Answer C. $q \rightarrow \neg p$

Question 2: Which of the following propositions is a tauoology? (3 points)

A. (p OR q) AND (NOT p)
B. (p OR q) OR (NOT p)
C. (p AND q) AND (NOT q)
D. (p OR q) AND (NOT q)

Answer B. (p OR q) OR (NOT p)

Question 3: Which of the following is true given the following propositions $p$: $t \rightarrow u$ and $q$: $\neg t$ OR $u$. (3 points)

A. p does not logically imply q
B. q does not logically imply p
C. p and q are logically equivalent
D. none of the above are true

Answer C. p and q are logically equivalent

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