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do b, c, d do b, d, e do b, d, e do b, d, f Give a truth table for each expression (a) (-)

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do b, c, d

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do b, d, e

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do b, d, e

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do b, d, f

Give a truth table for each expression (a) (-) - D Solution L {p -- Q) (q=p) (c) (ova) - (q +-p) (d) (p ) ( -9) Define the following propositions: c: I will return to college. j: I will get a job Translate the following English sentences into logical expressions using the definitions above (a) Not getting a job is a sufficient condition for me to return to college. Solution (b) If I return to college, then I won't get a job! (c) I am not getting a job, but I am still not returning to college Solution in-c (d) I will return to college only if I won't get a job. There's no way I am returning to college. I will get a job and return to college Define the following propositions: w the roads were wet a: there was an accident h: traffic was heavy Express each of the logical expressions as an English sentence: (a) W- Solution One possible solution: "If the roads were wet then traffic was heavy (b) waa (c) aah) Solutinn One possible solution: "It is not true that there was an accident and traffic was heavy." to na vw} WA- The variable pis true, is false, and the truth value for variabler is unknown. Indicate whether the truth value of each logical expression is true, false, or unknown (a) - (QAT) Solution False. The hypothesis is true and the conclusion is false. (pvi) (C) (PV) -- (1) Solution False. p ris true and Aris false. Therefore in V (qan is false (DAR)--(AT) p (va) (png)

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