Exam 3: Logic

Identify $p$ and $q$ . Then translate the argument into symbols and determine whether it is valid or invalid. If I get the job, then I am moving to Hawaii. I moved to Hawaii. $\therefore$ I got the job.

Determine whether the argument is valid or invalid. Some fizzbangers are breakdancers. No breakdancers are jealous. $\therefore$ Some fizzbangers are not jealous.

Identify $p , q$ , and $r$ . Then translate the argument into symbols and determine whether it is valid or invalid. If I lose ten pounds, then my tux will fit. If my tux fits, then I will go to the reunion. $\therefore$ If I lose ten pounds, then I will go to the reunion.

Construct a truth table for the following statement. $\sim p \wedge q$ How many T's are in the final column?

A new intelligence enhancing supplement claims that if you take this product daily and you get 8 hours of sleep per night, you will increase your score by 5 points on a standard IQ test. Let p be "you take this product daily," q be "you get 8 hours of sleep per night," and r be "you will increase your score by 5 points on a standard IQ test." Write the compound statement in symbolic form, using conjunctions and the conditional. A) $( p \wedge q ) \rightarrow r$ B) $( p \vee q ) \leftrightarrow r$ C) $( p \vee q ) \rightarrow r$ D) $( p \wedge q ) \leftrightarrow r$

Draw an Euler circle diagram for the statement. Some teachers are nice people.

Draw an Euler circle diagram for the statement. Some homes are not single story houses. A) B) C) D)

Classify each statement as simple or compound. i. Jeff's brother is two years old. ii. $\mathrm { He }$ is over six feet tall. iii. His parents own two houses. iv. He likes cats and dogs.

Decide if the statement is simple or compound. I will go with you if and only if we are on time.

Determine whether the argument is valid or invalid. Some $R$ is not $S$ . No $S$ is $T$ . $\therefore$ Some $R$ is not $T$ .

Let p = "Paolo bicycles to school." Let q = "Roberto drives to school." Write the following statement in symbols. It is not true that Paolo does not bicycle to school and Roberto does not drive to school.

What are the values in the final column of the truth table below? p q \simq\rightarrow\simp A) B) C) D)

Complete a truth table for the following statement. $(r \wedge q) \vee(\sim p \wedge q)$ A) p q r r\wedgeq \simp\wedgeq (r\wedgeq)\vee(\simp\wedgeq) B) p q r r\wedgeq \simp\wedgeq\mid(r\wedgeq)\vee(\simp\wedgeq) C) p q r r\wedgeq \simp\wedgeq (r\wedgeq)\vee(\simp\wedgeq) D) p q r r\wedgeq \simp\wedgeq\mid(r\wedgeq)\vee(\simp\wedgeq)

Determine whether the statement is a tautology, a self-contradiction, or neither. $( \sim p \vee q ) \wedge ( p \vee \sim q )$

Complete the following truth table for the statement \simp\vee\simq . p q \simp\vee\simq A) p q \simp\vee\simq B) p q \simp\vee\simq C) p q \simp\vee\simq D) p q \simp\vee\simq

Write the inverse of the conditional statement. If I get a speeding ticket, my parents do not pay for my insurance.

Which of the following is a simple statement?

Find the converse of the statement. $\sim p \rightarrow \sim q$ A) $q \rightarrow p$ B) $p \rightarrow \sim q$ C) $p \rightarrow q$ D) $\sim q \rightarrow \sim p$

Determine whether the argument is valid or invalid. Some children are energetic. Some children are not polite. $\therefore$ Some polite people are not energetic.

Draw an Euler circle diagram for the statement. No math classes are easy.