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Subsets, Proper Subsets & Supersets Video Lecture | Mathematics (Maths) Class 11 - Commerce

75 videos|238 docs|91 tests

Timeline

00:03 Subset of a Set
00:54 Symbol of the Subset
01:26 Proper Subset of a Set
02:28 Symbol of the Proper Subset
02:31 Strict Subset
02:53 Super Set
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FAQs on Subsets, Proper Subsets & Supersets Video Lecture - Mathematics (Maths) Class 11 - Commerce

1. What are subsets and proper subsets?
Ans. A subset is a set that contains elements of another set. It can include all the elements of the original set or only some of them. A proper subset is a subset that does not include all the elements of the original set.
2. How can I determine if one set is a subset of another?
Ans. To determine if one set is a subset of another, you need to check if all the elements of the first set are also present in the second set. If they are, then the first set is a subset of the second set.
3. What is the difference between a subset and a superset?
Ans. A subset is a set that contains elements of another set, while a superset is a set that includes all the elements of another set. In other words, a subset is a smaller set within a larger set, and a superset is a larger set that contains the subset.
4. Can a set be both a subset and a proper subset at the same time?
Ans. No, a set cannot be both a subset and a proper subset at the same time. If a set A is a proper subset of set B, it means that A is a subset of B but not equal to B. Therefore, a proper subset cannot be equal to its superset.
5. How many subsets can a set with n elements have?
Ans. A set with n elements can have 2^n subsets, including the empty set and the set itself. This includes all possible combinations of elements in the set, ranging from subsets with no elements to the full set itself.
75 videos|238 docs|91 tests

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