Question

How do you determine the number of elements in a set?

Short answer

Answer: To find the number of elements in the set S, we need to: 1. Identify the unique elements of the set: {9, 5, 3, 2, 6} 2. Count the number of elements: 5 There are 5 elements in the set S.

Step-by-step solution

Understand the concept of a set

A set is a collection of distinct objects, which can be numbers, letters, or other objects. It is important to remember that sets do not have duplicate elements. The elements within a set are also unordered, meaning they can be arranged in any order.

Identify the elements of the set

To determine the number of elements in a set, it is necessary to identify the unique elements within the set. If there are any duplicate elements, remove them as they only count once within a set.

Count the elements in the set

Once the distinct elements of the set have been identified, simply count the number of elements. This will give you the number of elements in the set.

Example: Counting elements in a set

Suppose we have a set: S = {2, 4, 6, 2, 8, 4, 10}. To find the number of elements in this set: 1. Identify the unique elements of the set: {2, 4, 6, 8, 10} 2. Count the number of elements: 5 The set S has 5 elements.