# Question: module outcome 4 construct a rigorous proof using the methods...

###### Question details

Module Outcome #4: Construct a rigorous proof using the
methods of direct proof, proof by contradiction and proof by
contraposition. (CO #1)

Consider the claim: If m is an even integer, then m2-3m+1 is
an odd integer.

(a.) Prove the claim using a direct proof.

(b.) State the converse. Is the converse true? Provide a proof
or give a counterexample.