Truth Tables, Converse, Inverse, Contrapositive

Front

What is a truth table?

Back

A truth table is a mathematical table used to determine the truth values of logical expressions based on their inputs.

Front

What does the converse of a conditional statement involve?

Back

The converse of a conditional statement switches the hypothesis and conclusion.

Front

Given the statement 'If p, then q', what is the converse?

Back

The converse is 'If q, then p'.

Front

What is the inverse of a conditional statement?

Back

The inverse negates both the hypothesis and conclusion of the conditional statement.

Front

Given the statement 'If p, then q', what is the inverse?

Back

The inverse is 'If not p, then not q'.

Front

What is the contrapositive of a conditional statement?

Back

The contrapositive negates and switches the hypothesis and conclusion.

Front

Given the statement 'If p, then q', what is the contrapositive?

Back

The contrapositive is 'If not q, then not p'.

Front

What is a conjunction in logic?

Back

A conjunction is a compound statement formed by joining two statements with the word 'and'.

Front

What is a disjunction in logic?

Back

A disjunction is a compound statement formed by joining two statements with the word 'or'.

Front

What is a conditional statement?

Back

A conditional statement is an if-then statement that expresses a relationship between two propositions.