2. THE STATEMENTS
The original conditional statement is “ p -> q”
This is read as “if p then q.”
p is the hypothesis and q is the conclusion
Converse q->p
Inverse ~p->~q. (~ means not)
Contrapositive ~q->~p
3. LET’S TRY ONE
Use the following statement, write the converse, inverse and
contrapositive.
If it has bacon then it is good.
4. ANSWERS
Converse: If it is good then it has bacon.
Inverse: If it doesn’t have bacon then it isn’t good.
Contrapositive: If it isn’t good then it doesn’t have bacon.
5. SOME THINGS YOU NEED TO KNOW
If the conditional statement is true, then the contrapositive is true.
If the conditional statement is false, then the contrapositive is
false.
A counterexample is something that disproves the statement.
6. NAME A COUNTEREXAMPLE
If a shape is a quadrilateral then it is a square.
If an animal swims then it is a duck.
If it is February then it only has 28 days.
7. ANSWERS
A rectangle is a quadrilateral but it isn’t a square.
A fish swims and it isn’t a duck.
Leap year
