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Sets Basics Video Lecture | Applied Mathematics for Class 11 - Commerce

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FAQs on Sets Basics Video Lecture - Applied Mathematics for Class 11 - Commerce

1. What is a set in mathematics?
Ans. A set in mathematics is a collection of distinct objects, considered as an object in its own right. These objects, known as elements or members of the set, can be anything from numbers, letters, or even other sets.
2. How is a set represented?
Ans. A set is typically represented by listing its elements within curly braces {}. For example, a set of even numbers can be represented as {2, 4, 6, 8, ...}, where the ellipsis (...) denotes that the pattern continues.
3. What is the cardinality of a set?
Ans. The cardinality of a set refers to the number of elements it contains. It is denoted by the symbol |A|, where A is the set. For example, if A = {1, 2, 3}, then |A| = 3, indicating that the set A has three elements.
4. What is the difference between a subset and a proper subset?
Ans. A subset is a set that contains all the elements of another set, including the possibility of being equal to the other set. On the other hand, a proper subset is a subset that contains all the elements of another set, but it is not equal to the other set. In other words, a proper subset is a strict subset.
5. How can set operations be performed?
Ans. Set operations, such as union, intersection, and complement, can be performed to manipulate and analyze sets. The union of two sets A and B is the set containing all elements from both sets. The intersection of two sets A and B is the set containing only the elements that are common to both sets. The complement of a set A, denoted by A', is the set of all elements that are not in A. These set operations allow for various calculations and comparisons within sets.
87 videos|88 docs|62 tests

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