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Discrete Mathematics with Graph Theory (3rd Edition) 26

# Discrete Mathematics with Graph Theory (3rd Edition) 26 -...

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24 p: (b) [BB] Let p and q be the statements I stay up late at night q: I am tired in the morning. The given argument is p-q q p This is not valid, as the truth table shows. In row three, the two premises are true but the conclusion is false. I stay up late at night p T T F F (c) Let p and q be the statements p: q: I am tired in the morning. p-q The given argument is -.q -.p This is valid by modus tollens. (d) Let p and q be the statements p: q: p-q The given argument is -.p -.q I stay up late at night I am tired in the morning. q T F T F This is not valid, as the truth table shows. In row three, the two premises are true but the conclusion
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Unformatted text preview: is false. p q p-+q p: (e) [BB] Letp and q be the statements q: pVq The given argument is -.q. P This is valid by disjunctive syllogism. T T T T F F F T T F F T I wear a red tie I wear blue socks. (t) Let p and q be the statements p: I wear a red tie q: I wear blue socks. pVq The given argument is q -.p This is not valid, as the truth table shows. In row one, the two premises are true but the conclusion is false. p: (g) [BB] Let p, q, and r be the statements q : r: p q pVq T T T T F T F T T F F F I work hard I earn lots of money I pay high taxes. Solutions to Exercises p-+q T * F T * T -.p -.q F F F T T F T T -.p F * F T * T * *...
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