Equivalent forms of a Conditional Statements

Which of the following best define a conditional statement?

• A conditional statement is a statement that has no conditions.

• A conditional statement is a statement that only uses the word 'if' without 'then'.

• A conditional statement is an if-then statement that expresses a condition.

• A conditional statement is a statement that always holds true.

The following are if-then statements. Which of them is the best example of a conditional statement?

• If it rains, then the ground will be wet.

• If it snows, then the ground will be dry.

• If I eat cake, then I will be hungry.

• If the sun sets, then it will be daytime.

What is the inverse of a conditional statement?

If P, then Q

• If not P, then not Q.

• If Q, then P.

• If not Q, then not P.

• If P, then Q.

Which is the INVERSE of the given conditional statement?

If it rains, then the ground will be wet.

• If it rains, then the ground will be wet.

• If the ground is wet, then it rains.

• If it does not rain, then the ground will not be wet.

• If the ground will not be wet, then it does not rain.

What is the CONVERSE of a conditonal statement?

If P, then Q.

• If Q, then P

• If not Q, then P

• If not P, then Q

• If P, then Q

Which is the CONVERSE of the given conditional statement?

If it rains, then the ground will be wet.

• If it rains, then the ground will be wet.

• If the ground will be wet, then it rains.

• If it does not rain, then the ground will not be wet.

• If the ground will not be wet, then it does not rain.

Which is the CONTRAPOSITIVE of the given conditional statement?

If it rains, then the ground will be wet.

• If it rains, then the ground will be wet.

• If the ground will be wet, then it rains.

• If it does not rain, then the ground will not be wet.

• If the ground will not be wet, then it does not rain.

What is the CONTRAPOSITIVE of a conditonal statement?

If P, then Q.

• If Q, then P

• If not Q, then not P

• If not P, then not Q

• If P, then Q