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Mathematics (Class 11) – Chapter 1: Sets
Summary:
- This chapter introduces sets, types of sets, and operations on sets.
Key Points:
- Definition of a Set:
- A set is a well-defined collection of objects (e.g., A = {1, 2, 3}).
- Types of Sets:
- Finite Set: Has a finite number of elements.
- Infinite Set: Has an infinite number of elements.
- Null Set: Contains no elements, also called the empty set (∅).
- Equal Sets: Two sets that contain the same elements.
- Subsets: A set that contains some or all elements of another set.
- Operations on Sets:
- Union (A ∪ B): All elements in A or B.
- Intersection (A ∩ B): Elements common to both A and B.
- Difference (A – B): Elements in A but not in B.
- Complement (A’): All elements not in set A.
Complex Concepts Simplified:
- Sets: Think of sets as “groups” of items, like a group of students in a class or the collection of your favorite books.
- Union and Intersection: Union is like combining two groups, while Intersection is what’s common between two groups.
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