Compound Statement Rules

Question 1

And

Answer 1

Indicates a Compound Statement

Question 2

Or

Answer 2

Indicates a Compound Statement

Question 3

Converting Compound “And” Statements to Their Contrapositive

Answer 3

The contrapositive of “and” is “or”.

As with any contrapositive, you must flip and negate the statement. Then change “and” to “or”.

ie; A —> B & C becomes Not B or Not C —> Not A

 A & B ---> C becomes Not C ---> Not A or Not B

Question 4

Converting Compound “Or” Statements to Their Contrapositive

Answer 4

The contrapositive of “or” is “and”.

As with any contrapositive, you must flip and negate the statement. Then change “or” to “and”.

ie; A —> B or C becomes Not B & Not C —> Not A

A or B ---> C becomes Not C ---> Not A & Not B