Beginning Activity Beginning Activity 1: Using a Logical Equivalency
1.
Complete a truth table to show that
2.
Suppose that you are trying to prove a statement that is written in the form
3.
Now consider the following proposition:
Proposition.
For all integers
4.
Now prove that if
5.
Use the results proved in Exercise 4 and the explanation in Exercise 2 to explain why we have proved the contrapositive of the proposition in Exercise 3.