Question Let p represent the statement “Jim plays football” and let q represent “Michael plays basketball”. Convert the compound statement into symbols: “Jim plays football and Michael plays basketball.” p OR q p AND q p Circled Plus q None of the above. Comments: Question 2. Question : Which of the following is a simple statement? The party is on either Tuesday or Wednesday I like mustard Is it raining? All of the above. Comments: Question 3. Question : Let r = “The food is good” p = “I eat too much” q = “I’ll exercise” Write the compound statement “If the food is good OR if I eat too much then I’ll exercise.” in symbols. r Arrow(p OR q) p Arrow(r OR q) r OR (p Arrow q) (r OR p) Arrow q Comments: Question 4. Question : Construct a truth table for the statement (t AND p) Circled+Plus (~t AND ~p) Comments: Question 5. Question : Construct a truth table for the statement (~q ANDp) S Comments: Question 6. Question : Let p represent the statement “Pam collects videotapes” and let q represent “John plays the tuba”. Convert the following compound statement into symbols: “Pam collects videotapes and John does not play the tuba.” p OR ~q p AND ~q q AND ~p None of the above. Comments: Question 7. Question : Let p represent the statement “I work hard” and q represent “It is Thursday”. Write the following compound statement in symbolic form: If I do not work hard then it is Thursday p Arrow q ~p Arrow q ~p Arrow ~q p Arrow ~q Comments: Question 8. Question : Given the following compound statement determine the value of p and q: S = ~p AND q = You did not do the laundry and you left the car a mess p: you did not do the laundry q: you left the car a mess p: you did the laundry q: you left the car a mess p: you did not do the laundry q: you did not leave the car a mess None of the above. Comments: Question 9. Question : Given the following truth table determine if (p AND q) and (p OR q) are logically equivalent statements: No* Yes It cannot be determined from this information Comments: Question 10. Question : Use the precedence rule to state the order in which you will apply each rule: (~p OR ~q) Arrow r first the if-then then the p OR q then the ~p and ~q first the ~p and ~q then the p OR q then the if-then first the ~p then the ~q then the if-then then the p OR q first the p OR q then the if-then then the ~p and ~q Comments: *
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