Conditional Statement Practice

Front

What is a conditional statement?

Back

A conditional statement is a logical statement that has two parts: a hypothesis (if part) and a conclusion (then part). It is often written in the form 'If P, then Q'.

Front

Identify the hypothesis and conclusion in the statement: 'If it rains, then the ground will be wet.'

Back

Hypothesis: It rains; Conclusion: The ground will be wet.

Front

What is the truth value of a statement?

Back

The truth value of a statement is a determination of whether the statement is true or false.

Front

What is the contrapositive of a conditional statement?

Back

The contrapositive of a conditional statement 'If P, then Q' is 'If not Q, then not P'. It is logically equivalent to the original statement.

Front

What is the inverse of a conditional statement?

Back

The inverse of a conditional statement 'If P, then Q' is 'If not P, then not Q'. It is not logically equivalent to the original statement.

Front

What is the converse of a conditional statement?

Back

The converse of a conditional statement 'If P, then Q' is 'If Q, then P'. It is not logically equivalent to the original statement.

Front

What does 'v' represent in logic?

Back

In logic, 'v' represents the logical OR operator.

Front

What does '^' represent in logic?

Back

In logic, '^' represents the logical AND operator.

Front

What is the truth value of: T ^ F?

Back

False.

Front

What is the truth value of: T v F?

Back

True.