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 hypothesis in a conditional statement?

Back

The hypothesis is the part of the conditional statement that follows the word 'if'. It represents the condition that must be true for the conclusion to follow.

Front

What is the conclusion in a conditional statement?

Back

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

Front

What is the converse of a conditional statement?

Back

The converse of a conditional statement is formed by reversing the hypothesis and conclusion. For example, the converse of "If P, then Q" is "If Q, then P."

Front

What is the biconditional statement?

Back

A biconditional statement combines a conditional statement and its converse, and is written as "P if and only if Q". It means both statements are true or both are false.

Front

What is the inverse of a conditional statement?

Back

The inverse of a conditional statement is formed by negating both the hypothesis and conclusion. For example, the inverse of "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 is formed by reversing and negating both the hypothesis and conclusion. For example, the contrapositive of "If P, then Q" is "If not Q, then not P."

Front

How do you determine if a conditional statement is true?

Back

A conditional statement is true unless the hypothesis is true and the conclusion is false. If the hypothesis is true and the conclusion is false, the statement is false.

Front

What is an example of a conditional statement?

Back

An example of a conditional statement is: "If it rains, then the ground will be wet."

Front

What is an example of a converse statement?

Back

An example of a converse statement is: "If the ground is wet, then it rained." (This is the converse of the original statement.)