Conditional Statements

Front

What is a conditional statement?

Back

A conditional statement is a logical statement that has two parts: a hypothesis (if part) and a conclusion (then part). It is often written in the form 'If P, then Q'.

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

What is a biconditional statement?

Back

A biconditional statement is a statement that combines a conditional statement and its converse, written as 'P if and only if Q'.

Front

How do you represent 'Daniel is angry' symbolically?

Back

Let p represent 'Daniel is angry'.

Front

How do you represent 'Daniel is not having fun' symbolically?

Back

Let q represent 'Daniel is not having fun'.

Front

What does the symbol ~ represent in logic?

Back

The symbol ~ represents negation, meaning 'not'.

Front

Translate the symbolic form ~q ^ p into written form.

Back

Daniel is not having fun and Daniel is angry.

Front

What is the conclusion of the statement: If it rains, then the ground is wet?

Back

The conclusion is 'the ground is wet'.