3. When you are given a proposition such as x · y
=
x
·
y
and asked to determine if it is true or false, it is usually
a good idea to try substituting some values for the variables x and y. If after trying
several different values, it always seems to be true, you might get a clue as to why it is
true and then you can use the clue to write a proof. If you find some values which make
the proposition false, then you have your counter-example.