Union and intersection of sets
Understand the Problem
The question is asking about the concepts of union and intersection in set theory, which are fundamental operations that describe how sets combine elements. The union of two sets includes all elements from both sets, while the intersection consists of elements that are common to both sets.
Answer
Union combines all elements from sets; intersection includes only common elements.
The union of sets combines all elements from the involved sets, while the intersection of sets includes only elements common to all involved sets.
Answer for screen readers
The union of sets combines all elements from the involved sets, while the intersection of sets includes only elements common to all involved sets.
More Information
In set theory, the union is denoted by '∪', and the intersection is denoted by '∩'.
Tips
A common mistake is confusing elements that belong to both sets (intersection) with elements that belong to at least one of the sets (union). Carefully consider the definitions of each operation.
Sources
- Set Operations | Union | Intersection | Complement - Probability course - probabilitycourse.com
- Intersection and union of sets (video) | Khan Academy - khanacademy.org
- Union and Intersection of Sets - Examples, Venn Diagram ... - Vedantu - vedantu.com
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