Given the following recursively defined set S:Basis: 0 € S and 7 € SRecursive rule: if x ES and y = S, then:• x+yЄSx-yesProve that every element in S is divisible by 7. ..(3 pt.) Complete the basis step of the proof.(3 pt.) What is the inductive hypothesis?•(3 pt.) What do you need to show in the inductive step of the proof?.(6 pt.) Complete the inductive step of the proof.

The answers for the following images are given respectively as image 1 and image 2.Explanation:IMAGE…

Answered: Given the following recursively defined…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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