Logic and Reasoning

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 expressed in the form 'If P, then Q'.

Front

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

Back

The hypothesis is 'it rains'.

Front

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

Back

The conclusion is '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

How do you determine the truth value of a conditional statement?

Back

A conditional statement is false only when the hypothesis is true and the conclusion is false; it is true in all other cases.

Front

What is an example of a true conditional statement?

Back

If it is snowing, then it is cold.

Front

What is an example of a false conditional statement?

Back

If it is raining, then the ground is dry.

Front

What is the difference between a hypothesis and a conclusion in a conditional statement?

Back

The hypothesis is the condition that leads to the conclusion, which is the result or outcome of that condition.