Textbook Question
Write each number in scientific notation. 3,590,000
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0. Review of Algebra
Exponents
1:09 minutesProblem 35
Textbook Question
Insert ∈ or ∉ in each blank to make the resulting statement true. {0} _____ {0, 1, 2, 5}
Verified step by step guidance1
Understand the problem: We need to determine whether the element 0 is a member of the set {0, 1, 2, 5} or not. The symbol \( \in \) means "is an element of," and \( \notin \) means "is not an element of."
Recall the definition of set membership: An element \( a \) is in a set \( S \) if \( a \) is one of the elements listed in \( S \).
Look at the set \( \{0, 1, 2, 5\} \) and check if 0 is listed as one of its elements.
Since 0 is indeed listed in the set, the correct symbol to use is \( \in \), meaning 0 is an element of the set.
Write the complete true statement: \( 0 \in \{0, 1, 2, 5\} \).
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Video duration:
1mKey Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Set Membership (Element of) Symbol (∈)
The symbol ∈ denotes that an element belongs to a set. For example, if a is an element of set A, we write a ∈ A. Understanding this symbol helps determine whether a specific value is included within a given set.
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Set Notation and Elements
Sets are collections of distinct objects, often listed within curly braces {}. Recognizing the elements of a set is essential to verify membership. For instance, {0, 1, 2, 5} contains the elements 0, 1, 2, and 5.
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Negation of Membership Symbol (∉)
The symbol ∉ indicates that an element does not belong to a set. If an element is not found in the set, we write a ∉ A. This concept is crucial to correctly complete statements about set membership.
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Guided course
3:55Example 1