Need help with bade case and inductive step please

7. Structural Induction (12 points) Let S be a subset of the set of integers defin as follows: Base case: (0,0) S Recursive case: If (a, b) E S then(s 1) List the elements of S produced by the f tions of the recursive definition: 2) Use structural induction to show for all (a, b) E S that (a + b) = 5k for some k E N a) Complete the hase Ce b) Inductive St , 2+ 8-6)G)trhe ep