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Chapter 9: Problem 26

How can you determine whether a specific element exists in a set?

Short Answer

Expert verified
Question: Explain the process of determining whether a specific element exists in a set. Answer: To determine whether a specific element exists in a set, follow these steps: 1) Understand the concept of sets and set membership. 2) Identify the given set and the element to be checked for membership. 3) Examine the elements in the set, comparing them to the given element. 4) Determine the result based on the comparison - if the given element matches an element in the set, it is a member, and therefore it exists in the set; if it does not match any element, it is not a member and does not exist in the set.

Step by step solution

01

Understand the problem

First, we need to understand what a set is and what it means for an element to be a member of a set. A set is a collection of distinct objects, called elements. An element can be a member of a set if it is one of the objects in the collection.
02

Identify the given set and element

Clearly identify the given set and the element that needs to be checked for membership in the set.
03

Examine the elements in the set

Go through each element of the set, comparing it to the given element. If the given element matches with any element of the set, it is a member of the set. Otherwise, it is not a member of the set.
04

Determine the result

Based on whether the given element matches with an element in the set or not, determine whether the given element is a member of the set. If it is a member of the set, we can conclude that the specific element exists in the set. If it is not a member of the set, we can conclude that the specific element does not exist in the set.

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