Reasoning and Logic - intro to propositions

A proposition can best be described as

• A command

• A question

• A declarative statement that is true or false

• A subjective statement

The negation of a proposition is

• the opposite statement

• a statement with the opposite truth value

• a negative proposition

• a proposition that is false

The negation of the statement "All Math teachers are boring" is

• No math teachers are boring

• There exists one math teacher that is not boring

• My math teacher is boring

• All math teachers are not boring

The compound statement  $q\ \wedge\ r$   means

• q and r

• q or r

• neither q nor r

 $p\ \ \wedge\ q$  is an example of a 

• conditional statement

• negation

• disjunction

• conjunction

 $x\ \wedge\ y$  is true when

• at least one proposition is true

• both propositions are false

• both propositions are true

 $x\ \wedge\ y$  is false when

• at least one proposition is false

• both propositions are false

• both propositions are true

Which statement is not an example of a conjunction?

• I passed Math but failed Add Maths

• I passed Math and failed Add Math

• I passed Math however I failed Add Math

• I passed Math or I passed Add Math

The compound statement  $q\ \vee\ r$   means

• q and r

• q or r

• neither q nor r

 $p\ \ \vee\ \ q$  is an example of a 

• conditional statement

• negation

• disjunction

• conjunction