Textbook Question
In Exercises 15–30, write each number in scientific notation.-317
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0. Review of Algebra
Exponents
1:21 minutesProblem 21
Textbook Question
Find the intersection of the sets. {1,2,3,4}∩{2,4,5}
Verified step by step guidance1
Recall that the intersection of two sets, denoted by \(A \cap B\), consists of all elements that are common to both sets \(A\) and \(B\).
Identify the elements of the first set: \(\{1, 2, 3, 4\}\).
Identify the elements of the second set: \(\{2, 4, 5\}\).
Compare the elements of both sets and find which elements appear in both sets.
List all the common elements to write the intersection set \(\{1, 2, 3, 4\} \cap \{2, 4, 5\}\).
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1mKey Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Set Theory
Set theory studies collections of objects called sets. It provides the foundation for understanding how to group, compare, and operate on these collections, which is essential for working with problems involving sets.
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Intersection of Sets
The intersection of two sets includes all elements that are common to both sets. It is denoted by the symbol ∩ and helps identify shared members between sets, such as {1,2,3} ∩ {2,4} = {2}.
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Elements and Membership
Elements are the individual objects within a set. Understanding membership means knowing whether a particular element belongs to a set, which is crucial when determining intersections or other set operations.
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