Conditional Statements

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 Converse of a Conditional Statement?

Back

The statement formed by reversing the hypothesis and conclusion of a conditional statement, written as "If Q, then P."

Front

What is the Inverse of a Conditional Statement?

Back

The statement formed by negating both the hypothesis and conclusion of a conditional statement, written as "If not P, then not Q."

Front

What is the Contrapositive of a Conditional Statement?

Back

The statement formed by negating and reversing the hypothesis and conclusion of a conditional statement, written as "If not Q, then not P."

Front

What does the symbol ∧ mean?

Back

It means 'and' in logical statements.

Front

What does the symbol ∨ mean?

Back

It means 'or' in logical statements.

Front

What does the symbol ¬ mean?

Back

It means 'not' in logical statements.

Front

What does the symbol → mean?

Back

It means 'implies' in logical statements.

Front

Given: "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

Given: "If it rains, then the ground is wet." What is the Contrapositive?

Back

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