Exam 3: Introduction to Logic

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Convert the symbolic compound statement into words. -p represents the statement "It's Monday." q represents the statement "It's raining today." Translate the following compound statement into words: pq\sim p \wedge \sim q

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Determine whether the argument is valid or invalid. -Loretta's hobby is stamp collecting. If her husband likes to fish, then Loretta's hobby is not stamp collecting. If her husband does not like to fish, then Nathan likes to read. Therefore, Nathan likes to Read.

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Decide whether or not the following is a statement. -One inch is 2.54 meters.

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Solve the problem. -Given that (pq)\sim ( p \wedge q ) is true, what can you conclude about the truth values of pp and qq ?

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Use the method of writing each premise in symbols in order to write a conclusion that yields a valid argument. -If you pay your taxes, then you are a good citizen. People who do not pay their taxes did not receive a tax bill. If it is April, then you will receive a tax bill. It is April.

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Solve the Sudoku. -Medium 3 2 7 2 6 9 8 2 8 3 1 5 1 3 8 6 5 5 1 3 2 8 7 9 8 4 6 9 3 7 1

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Use the method of writing each premise in symbols in order to write a conclusion that yields a valid argument. -If it's not Saturday, then Dad will shave. If Dad has whiskers, then he did not shave. If it's Saturday, then Dad will take us to the game.

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Rewrite the statement using the if...then connective. Rearrange the wording or words as necessary. -All children like stuffed toys.

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Given p is true, q is true, and r is false, find the truth value of the statement. - [(qr)(qr)]\sim [ ( \sim q \rightarrow r ) - ( q \vee r ) ]

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Decide whether the statement is compound. -If Jane doesn't get up, then Ralph will be late for school.

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Decide whether the statement is true or false. -At least one irrational number is not an integer.

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Decide whether the statement is true or false. -Some real numbers are integers.

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Construct a truth table for the statement. - (pq)(pq)( p \rightarrow q ) \rightarrow ( \sim p \vee q )

(Multiple Choice)
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Use an Euler diagram to determine whether the argument is valid or invalid. -Some investments are risky.  Real estate is an investment. \underline { \text { Real estate is an investment. } } Real estate is risky.

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Write a negation for the statement. -Some people don't like walking.

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Given p is true, q is true, and r is false, find the truth value of the statement. -  rp\ r\rightarrow p

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Construct a truth table for the statement. - (ps)t(p \wedge \sim s) \wedge t

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 When using a truth table, the statement pq is equivalent to qp\text { When using a truth table, the statement } p \rightarrow q \text { is equivalent to } \sim q \rightarrow p \text {. }

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Decide whether the compound statement is true or false. The symbol for exclusive disjunction \vee represents "one or the other is true, but not both". - 9+5=143+5=89 + 5 = 14 \vee 3 + 5 = 8

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Decide whether the statement is true or false. -Not every real number is not a whole number.

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