Lab 19: Conditional Statements 2.0

Front

What is a conditional statement?

Back

A conditional statement is a logical statement that has two parts: a hypothesis (p) and a conclusion (q), typically expressed in the form 'If p, then q' (p → q).

Front

What is the contrapositive of a conditional statement?

Back

The contrapositive of a conditional statement 'If p, then q' (p → q) is 'If not q, then not p' (¬q → ¬p).

Front

What is the converse of a conditional statement?

Back

The converse of a conditional statement 'If p, then q' (p → q) is 'If q, then p' (q → p).

Front

What is the inverse of a conditional statement?

Back

The inverse of a conditional statement 'If p, then q' (p → q) is 'If not p, then not q' (¬p → ¬q).

Front

Identify the contrapositive: If it rains, then the ground is wet.

Back

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

Front

Identify the converse: If it rains, then the ground is wet.

Back

If the ground is wet, then it rains.

Front

Identify the inverse: If it rains, then the ground is wet.

Back

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

Front

What is the notation for a conditional statement?

Back

The notation for a conditional statement is p → q.

Front

What is the notation for the contrapositive of p → q?

Back

The notation for the contrapositive is ¬q → ¬p.

Front

What is the notation for the converse of p → q?

Back

The notation for the converse is q → p.