Textbook Question
Use set notation, and list all the elements of each set. {x | x is a natural number not greater than 4}
1318
views
0. Review of Algebra
Exponents
0:45 minutesProblem 27
Textbook Question
Insert ∈ or ∉ in each blank to make the resulting statement true. 6 _____ {3, 4, 5, 6}
Verified step by step guidance1
Understand the problem: We need to determine whether the number 6 is an element of the set {3, 4, 5, 6}.
Recall the meaning of the symbols: The symbol \( \in \) means "is an element of," and \( \notin \) means "is not an element of."
Look at the set \( \{3, 4, 5, 6\} \) and check if the number 6 is listed inside the curly braces.
Since 6 appears in the set, the correct symbol to use is \( \in \), indicating membership.
Write the complete true statement: \( 6 \in \{3, 4, 5, 6\} \).
Verified video answer for a similar problem:This video solution was recommended by our tutors as helpful for the problem above
Video duration:
45sKey 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 listed elements.
Recommended video:
05:25
Graphing Polynomial Functions
Set Notation and Symbols
Set notation uses curly braces {} to list elements, and symbols like '∈' and '∉' to indicate membership or non-membership. Understanding these symbols is essential to correctly interpret and complete statements about sets.
Recommended video:
05:18Interval Notation
Evaluating Membership Statements
To determine if an element belongs to a set, compare the element with the set's listed members. If the element matches any member, use '∈'; if not, use '∉'. This evaluation is fundamental in set theory problems.
Recommended video:
5:14Evaluate Logarithms
Related Videos
Related Practice