# Question: determine if each of the following conjectures is true or...

###### Question details

Determine if each of the following conjectures is true or false. If a conjecture is true, state the conjecture as a proposition and write a proof. If a conjecture is false, provide a counterexample (with explanation) that shows the conjecture is false.

1) If m is an odd integer, then (m^{4} − 1)/ 4 is an
even integer.

2) If m is an odd integer, then (m^{4} − 1)/ 5 is an
even integer.