Set theory: by Pratima Nayak
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The document discusses the theory of sets, identifying whether specific collections are well-defined, such as male students in a class and certain numerical collections. It explains the notation for sets, elements, and the use of Venn diagrams to illustrate relationships between sets. Additionally, it acknowledges contributions from various educational resources and educators.
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Set theory: by Pratima Nayak
- 4. Which of the following collections are well defined? (1) The collection of male students in your class. (2) The collection of numbers 2, 4, 6, 10 and 12. (3) The collection of districts in Tamil Nadu. (4) The collection of all good movies.
- 5. Sets are named with the capital letters A, B, C, etc. The elements of a set are denoted by the small letters a, b, c, etc.
- 6. For example, Consider the set A = {1, 3, 5, 9} 1 is an element of A, written as 1 A 3 is an element of A, written as 3 A 8 is not an element of A, written as 8 A
- 24. A CB
- 25. Venn Diagrams We use diagrams or pictures in geometry to explain a concept or a situation and sometimes we also use them to solve problems. In mathematics, we use diagrammatic representations called Venn Diagrams to visualise the relationships between sets and set operations.
- 45. Example:
- 46. Example:
- 48. Developed by Pratima Nayak,PGT( Mathematics), Kendriya Vidyalaya,Fort William,Kolkata I acknowledge text books of different States of India and NCERT.