Let's try Conditional Statements

Front

What is a conditional statement?

Back

A conditional statement is a logical statement that has two parts: a hypothesis (if) and a conclusion (then). For example, 'If it rains, then the ground will be wet.'

Front

What is the inverse of a conditional statement p→q?

Back

The inverse is ∼p→∼q.

Front

What does the term 'inverse statement' refer to?

Back

An inverse statement negates both the hypothesis and the conclusion of the original conditional statement.

Front

What is the contrapositive of a conditional statement p→q?

Back

The contrapositive is ∼q→∼p.

Front

What does the term 'contrapositive statement' refer to?

Back

A contrapositive statement reverses and negates both the hypothesis and conclusion of the original conditional statement.

Front

What is the converse of a conditional statement p→q?

Back

The converse is q→p.

Front

What does the term 'converse statement' refer to?

Back

A converse statement switches the hypothesis and conclusion of the original conditional statement.

Front

In the statement 'If it is a triangle, then it has three sides,' what is the hypothesis?

Back

The hypothesis is 'it is a triangle.'

Front

In the statement 'If Jason does not go out to dinner, then he will come to the volleyball game,' what is the inverse?

Back

The inverse is 'If Jason goes out to dinner, then he will not come to the volleyball game.'

Front

What is the negation of a statement?

Back

The negation of a statement is the opposite of the statement, often represented by the symbol ∼.