Problem Set

Consider the four statements.

A.

x is prime or x is even

B.

If x is even then x is prime

C.

x is even or if x is odd then x is not prime

D.

x is not prime or x is odd

For each of the following statements, decide if it is equivalent to one, if any, of the four above.

1. x is even and x is prime A B C D None
2. x is prime or x is odd A B C D None
3. x is not prime or if x is prime then x is odd A B C D None
4. If x is odd then x is prime A B C D None
5. If x is prime then x is even A B C D None

Now review your answers and make any necessary corrections before checking them.