1. Other
2. Other
3. determine if each of the following conjectures is true or...

# 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 (m4 − 1)/ 4 is an even integer.

2) If m is an odd integer, then (m4 − 1)/ 5 is an even integer.