Unit 1A Conditional and Converse

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.W.9-10.2D

CCSS.L.9-10.6

CCSS.W.8.2D

CCSS.L.8.6

CCSS.L.7.6

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'. It switches the hypothesis and conclusion.

Front

Provide an example of a conditional statement.

Back

If it rains, then the ground will be wet.

Tags

CCSS.RL.9-10.1

CCSS.RL.11-12.1

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.8.1

Front

Provide an example of a converse statement.

Back

If the ground is wet, then it rained.

Tags

CCSS.L.8.1C

CCSS.L.8.3A

CCSS.L.2.1F

Front

What is the relationship between a conditional statement and its converse?

Back

A conditional statement and its converse are not logically equivalent; one can be true while the other is false.

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 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

Provide an example of an inverse statement.

Back

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

Tags

CCSS.L.8.1C

CCSS.L.8.3A

CCSS.L.2.1F

Front

Provide an example of a contrapositive statement.

Back

If the ground is not wet, then it did not rain.

Tags

CCSS.L.8.1C

CCSS.L.8.3A

CCSS.L.2.1F

Front

What is the significance of understanding conditionals in logic?

Back

Understanding conditionals is crucial for logical reasoning, problem-solving, and constructing valid arguments.

Tags

CCSS.L.8.1C

CCSS.L.8.3A

CCSS.L.2.1F