Conditional, Converse, Inverse, Contrapostive

Front

What is a conditional statement?

Back

A conditional statement is an if-then statement that expresses a relationship between two propositions, where the first proposition (hypothesis) implies the second (conclusion).

Front

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

Back

Hypothesis: It rains; Conclusion: The ground is wet.

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'.

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'.

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'.

Front

Given the statement: 'If I study, then I will pass the test.' What is the contrapositive?

Back

If I do not pass the test, then I did not study.

Front

What does it mean to negate a statement?

Back

To negate a statement means to state the opposite of that statement.

Front

If the statement is 'If you are a student, then you are learning,' what is its converse?

Back

If you are learning, then you are a student.

Front

What is the relationship between a statement and its contrapositive?

Back

A statement and its contrapositive are logically equivalent; if one is true, the other is also true.

Front

What is an example of a conditional statement?

Back

If it is a holiday, then the school is closed.