Class 11 Exam > Class 11 Videos > Subset & SuperSet (Part - 6) - Sets, Mathematics, Class 11
Subset & SuperSet (Part - 6) - Sets, Mathematics, Class 11 Video Lecture
FAQs on Subset & SuperSet (Part - 6) - Sets, Mathematics, Class 11 Video Lecture
| 1. What is a subset in mathematics? |  |
Ans. A subset is a term used in mathematics to describe a set that consists of elements from another set. In other words, if every element of set A is also an element of set B, then set A is said to be a subset of set B.
| 2. What is a superset in mathematics? | |
Ans. A superset is the opposite of a subset. It is a term used in mathematics to describe a set that contains all the elements of another set. In other words, if every element of set A is also an element of set B, then set B is said to be a superset of set A.
| 3. How can we determine if one set is a subset of another? | |
Ans. To determine if one set is a subset of another, we need to check if every element of the first set is also an element of the second set. If this condition is satisfied, then the first set is a subset of the second set. We can use set notation to represent this relationship by using the symbol ⊆.
| 4. Can a set be both a subset and a superset at the same time? | |
Ans. Yes, it is possible for a set to be both a subset and a superset at the same time. This occurs when two sets have exactly the same elements. In this case, we say that the two sets are equal, and they are both subsets and supersets of each other. We can use the symbol ⊂ to represent a proper subset, where the first set is a subset but not equal to the second set.
| 5. Are there any other relationships between sets apart from subsets and supersets? | |
Ans. Yes, apart from subsets and supersets, there are other relationships between sets. These include disjoint sets, overlapping sets, and equal sets. Disjoint sets are sets that have no common elements. Overlapping sets have at least one common element. Equal sets have exactly the same elements. These relationships can be represented using set notation and symbols.
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Nov 24, 2024 Last updated |
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