Truth Tables

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 symbol '~' represent in logic?

Back

The symbol '~' represents negation, meaning 'not'. It inverts the truth value of a statement.

Tags

CCSS.HSS.CP.A.1

Front

What does 'V' represent in logic?

Back

The symbol 'V' represents logical disjunction, meaning 'or'. It is true if at least one of the statements is true.

Tags

CCSS.HSS.CP.B.7

Front

What does '∧' represent in logic?

Back

The symbol '∧' represents logical conjunction, meaning 'and'. It is true only if both statements are true.

Tags

CCSS.7.SP.C.8B

Front

What is the truth value of 'A V B' if A is true and B is false?

Back

True, because at least one of the statements (A) is true.

Front

What is the truth value of '~A' if A is true?

Back

False, because negation inverts the truth value.

Front

How do you determine the truth value of 'A ∧ B'?

Back

The truth value is true only if both A and B are true.

Front

What is the truth value of 'A V B' if both A and B are false?

Back

False, because neither statement is true.

Tags

CCSS.HSS.MD.A.2

Front

What is the result of 'A V ~A'?

Back

True, because either A is true or not A is true.

Front

What is the truth value of 'A ∧ ~A'?

Back

False, because A cannot be both true and false at the same time.