Insert ∈ or ∉ in each blank to make the resulting statement true. 5 ____ {4, 6, 8, 10}
Verified step by step guidance
1
Understand the problem: We need to determine whether the number 5 is an element of the set \{4, 6, 8, 10\} or not. The symbols used are \( \in \) meaning "is an element of" and \( \notin \) meaning "is not an element of".
Look at the set \( \{4, 6, 8, 10\} \) and identify its elements. The set contains the numbers 4, 6, 8, and 10.
Check if the number 5 is listed among the elements of the set. Since 5 is not in the list \(4, 6, 8, 10\), it is not an element of the set.
Based on this, choose the correct symbol to complete the statement: since 5 is not in the set, use \( \notin \).
This video solution was recommended by our tutors as helpful for the problem above
Video duration:
47s
Play a video:
0 Comments
Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Set Membership (Element of a Set)
Set membership refers to whether a specific element belongs to a given set. The symbol '∈' denotes that an element is a member of the set, meaning it is included within the set's elements.
Set notation uses curly braces {} to list elements, and symbols like '∈' (element of) and '∉' (not an element of) to express membership. Understanding these symbols is essential to correctly interpret and complete statements about sets.
To determine if an element belongs to a set, compare the element to the listed members. If the element matches any member, it belongs (∈); if not, it does not belong (∉). This evaluation is key to correctly filling in the blank.