2.2 Practice

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). For example, "If it rains, then the ground will be wet."

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Front

What does it mean if a conclusion is 'invalid'?

Back

An invalid conclusion means that the conclusion does not logically follow from the premises or statements provided.

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 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 a biconditional statement?

Back

A biconditional statement is a statement that combines two conditional statements, stating that both conditions are true or both are false. It is often expressed as "P if and only if Q."

Front

What is the difference between necessary and sufficient conditions?

Back

A necessary condition must be true for a statement to be true, while a sufficient condition guarantees that the statement is true.

Front

What is a logical fallacy?

Back

A logical fallacy is an error in reasoning that renders an argument invalid. Examples include ad hominem, straw man, and slippery slope.

Tags

CCSS.RI. 9-10.8

CCSS.RI.11-12.5

CCSS.RI.11-12.8

CCSS.RI.8.8

CCSS.RI.9-10.5

Front

What does it mean to draw a conclusion?

Back

To draw a conclusion means to make a judgment or inference based on the information or premises provided.

Tags

CCSS.RI.11-12.2

CCSS.RI.9-10.1

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Front

What is a hypothesis in a conditional statement?

Back

The hypothesis is the 'if' part of a conditional statement, representing a condition that must be met for the conclusion to follow.

Front

What is a conclusion in a conditional statement?

Back

The conclusion is the 'then' part of a conditional statement, representing the outcome that follows if the hypothesis is true.

Front

What is an example of a valid conclusion?

Back

If the statement is 'If it is a dog, then it is an animal,' and you know it is a dog, a valid conclusion is 'It is an animal.'

Tags

CCSS.RI.11-12.2

CCSS.RI.9-10.1

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1