Textbook Question
Find each sum or difference. -6 - 5
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0. Review of Algebra
Exponents
0:40 minutesProblem 40
Textbook Question
Determine whether each statement is true or false. 6 ∈ {2, 5, 8, 9}
Verified step by step guidance1
Understand the notation: The symbol \( \in \) means "is an element of" or "belongs to" a set.
Identify the set given: \( \{2, 5, 8, 9\} \) is a set containing the elements 2, 5, 8, and 9.
Check if the number 6 is listed as an element inside the set \( \{2, 5, 8, 9\} \).
Since 6 is not one of the elements 2, 5, 8, or 9, it does not belong to the set.
Therefore, the statement \( 6 \in \{2, 5, 8, 9\} \) is false.
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40sKey Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Set Membership
Set membership refers to whether an element belongs to a given set. The symbol '∈' denotes 'is an element of,' so the statement '6 ∈ {2, 5, 8, 9}' asks if 6 is included in the set containing 2, 5, 8, and 9.
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Set Notation
Set notation uses curly braces {} to list elements of a set explicitly. Understanding this notation helps identify which elements are included and is essential for evaluating membership statements.
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True or False Statements in Mathematics
Determining the truth value of a statement involves verifying if the conditions hold. For membership, the statement is true if the element is in the set; otherwise, it is false.
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