Let N* be the set of positive integers. The relation ∼ on N* is defined as follows: m ∼ n ⇐⇒ ∃k ∈ N* mn = k2
(a) Prove that ∼ is an equivalence relation.
(b) Find the equivalence classes of 2, 4, and 6.
Get Answers For Free
Most questions answered within 1 hours.