Math Problem Statement
Write a set equivalant to AUC 2. write a set equivalent to AnC
Solution
1. Set Equivalent to :
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is defined as the set of natural numbers less than 20 that are divisible by 3:
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is defined as the set of natural numbers less than 20 that are multiples of 6:
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The union of and , denoted as , includes all elements in either or :
2. Set Equivalent to :
- The intersection of and , denoted as , includes only the elements common to both and :
Let me know if you'd like more details or have any other questions!
Additional Questions:
- What would be the union of and ()?
- What would be the intersection of and ()?
- What would be the union of all three sets ?
- What would be the intersection of all three sets ?
- Can you list the elements of (elements in but not in )?
Tip:
When working with unions and intersections of sets, using Venn diagrams is a great way to visualize and identify common elements quickly.
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Math Problem Analysis
Mathematical Concepts
Set Theory
Union of Sets
Intersection of Sets
Formulas
A ∪ C (Union of A and C)
A ∩ C (Intersection of A and C)
Theorems
Union and Intersection of Sets
Suitable Grade Level
Grades 6-8
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