| A | B |
|---|
| Inverse of p=>q ? | ~p=>~q |
| Converse of p=>q ? | q=>p |
| Contrapositive of p=>q ? | ~q=>~p |
| Negation of p=>q ? | p=>~q |
| Part of the sentence after "if" ? | hypothesis |
| Part of the sentence after "then" ? | conclusion |
| Inverse of "If c=7, then 3c=21" ? | If c not=7, then 3c not=21. |
| Converse of "If c=7, then 3c=21" ? | If 3c=21, then c=7. |
| Contrapositive of If c=7, then 3c=21 ? | If 3c not=21, then c not=7. |
| Negation of "If c=7 then 3c=21" ? | If c=7, then 3c not= 21. |
| If p=>q is true and p is true, then q is true. | Law of Detachment |
| If p=>q and q=>r is true, then p=>r is true. | Law of Syllogism |
| The product of an odd and an even number is an even number. Using the Law of Detachment, what can be said about the numbers 3 and 6 ? | The product of 3 and 6 is an even number. |
| If you listen to your teacher, then you will make better grades. If you make better grades, then you will get reduced rates on auto insurance. What can be said, using the Law of Syllogism. | If you listen to your teacher, then you will get reduced rates on auto insurance. |
