(a) Let’s assume M is a set defined as M ⊆ Z+ ×Z+. Assume that M is defined using the concept of recursion taught in class as: i) (3, 2) ∈ M, ii) If (x, y) ∈ M, then (3x−2y, x)∈ M. Perform 5 recursive steps to obtain the updated M.
(b) If M is defined as M ⊆ Z+ ×N and the rest other conditions remain same, would the updated M after 5 recursive steps be same as obtained in part (a).
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