Conditional Statement Practice

Front

What is a Conditional Statement?

Back

A statement that can be written in the form 'If P, then Q', where P is the hypothesis and Q is the conclusion.

Front

What is the Inverse of a Conditional Statement?

Back

The Inverse of 'If P, then Q' is 'If not P, then not Q'.

Front

What is the Converse of a Conditional Statement?

Back

The Converse of 'If P, then Q' is 'If Q, then P'.

Front

What is the Contrapositive of a Conditional Statement?

Back

The Contrapositive of 'If P, then Q' is 'If not Q, then not P'.

Front

What does 'Negation' mean in logic?

Back

Negation is the opposite of a statement, often expressed as 'not P'.

Front

Example of a Conditional Statement: If it rains, then the ground is wet. What is the Inverse?

Back

If it does not rain, then the ground is not wet.

Front

Example of a Conditional Statement: If I study, then I will pass the test. What is the Converse?

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If I pass the test, then I studied.

Front

What is the relationship between a Conditional Statement and its Contrapositive?

Back

A Conditional Statement and its Contrapositive are logically equivalent.

Front

What is the relationship between a Conditional Statement and its Inverse?

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A Conditional Statement and its Inverse are not logically equivalent.

Front

What is the relationship between a Conditional Statement and its Converse?

Back

A Conditional Statement and its Converse are not logically equivalent.