Let R(m, n) be the predicate “If m is a factor of n2 then m is a factor of n,” with domain for both m and n being the set Z of integers.
a. Explain why R(m, n) is false if m = 25 and n = 10.
b. Give values different from those in part (a) for which R(m, n) is false.
c. Explain why R(m, n) is true if m = 5 and n = 10.
d. Give values different from those in part (c) for which R(m, n) is true.
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