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Sets - 1 Video Lecture | Mathematics Class 6 ICSE
FAQs on Sets - 1 Video Lecture - Mathematics Class 6 ICSE
| 1. What are sets in mathematics? |  |
Ans. Sets in mathematics are collections of distinct objects, considered as an object in their own right. These objects can be anything: numbers, letters, or even other sets. Sets are usually represented by curly braces, for example, {1, 2, 3} or {a, b, c}.
| 2. How do you denote a set? | |
Ans. A set is typically denoted using curly braces. For example, if we have a set of even numbers less than 10, we can write it as {2, 4, 6, 8}. The elements of the set are listed inside the braces and are separated by commas.
| 3. What is the difference between a finite set and an infinite set? | |
Ans. A finite set has a limited number of elements, such as {1, 2, 3}, which contains three elements. An infinite set, on the other hand, has an unlimited number of elements, such as the set of all natural numbers {1, 2, 3, 4, ...}.
| 4. Can a set contain other sets? | |
Ans. Yes, a set can contain other sets as elements. This is called a "nested set." For example, the set {1, {2, 3}, 4} contains the number 1, the set {2, 3}, and the number 4 as its elements.
| 5. What is the purpose of using sets in mathematics? | |
Ans. Sets are used in mathematics to group objects together in a clear and organized manner. They help in understanding concepts like relationships between different groups, operations like unions and intersections, and in solving problems involving collections of items.
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