Conditional Statements

Front

What is a conditional statement?

Back

A conditional statement is a logical statement that has two parts: a hypothesis and a conclusion, typically expressed in the form 'If P, then Q'.

Front

What is the hypothesis in a conditional statement?

Back

The hypothesis is the part of the conditional statement that follows 'if'. It represents the condition that must be met.

Front

What is the conclusion in a conditional statement?

Back

The conclusion is the part of the conditional statement that follows 'then'. It represents the result or outcome if the hypothesis is true.

Front

Identify the hypothesis: 'If it rains, then the ground will be wet.'

Back

It rains.

Front

Identify the conclusion: 'If it rains, then the ground will be wet.'

Back

The ground will be wet.

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 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

Provide an example of a conditional statement.

Back

If a shape is a square, then it has four equal sides.

Front

What does it mean for two statements to be logically equivalent?

Back

Two statements are logically equivalent if they have the same truth value in all possible scenarios.