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."

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

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." It is logically equivalent to the original statement.

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 converse of a conditional statement?

Back

The converse of a conditional statement "If P, then Q" is "If Q, then P."

Front

What is a biconditional statement?

Back

A biconditional statement is a statement that combines two conditional statements and is true if both parts are true. It is written as "P if and only if Q".

Front

How do you negate a statement?

Back

To negate a statement, you express the opposite of the original statement. For example, the negation of "x > 3" is "x ≤ 3."

Front

What is the difference between a conditional statement and a biconditional statement?

Back

A conditional statement has the form "If P, then Q," while a biconditional statement has the form "P if and only if Q," indicating that both statements are true together.

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."

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Front

What is an example of a contrapositive?

Back

For the conditional statement "If it is a dog, then it barks," the contrapositive is "If it does not bark, then it is not a dog."

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Front

What is an example of an inverse?

Back

For the conditional statement "If it is a dog, then it barks," the inverse is "If it is not a dog, then it does not bark."

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A