Chapter 3.1, Problem 3ES

Let R(m,n) be the predicate “If m is a factor if n² then m is a factor of n,” with domain for both m and n being Z the set of integers.

1. Explain why R(m,n) is false if m=25 and n=10.
2. Give value different from those in part(a) for which R(m,n) is false.
3. Explain why R(m,n) is true if m=5 and n=10.
4. Give value different from those in part(c) for which R(m,n) is true.