chapter number 1 sets completely
Full explanation, worked examples & memory tricks in the app
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Full explanation, worked examples & memory tricks in the app
Every question in the paper gets a full exam-length answer in the app — organised by marks, the way a topper writes it.
Define the complement of a set.
The complement of a set A contains all elements not in A, relative to a universal set.
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What is the difference between a subset and a proper subset?
A subset can be equal to the original set, while a proper subset must contain fewer elements than the original set.
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Draw a Venn diagram to represent the union and intersection of two sets.
A Venn diagram shows overlapping circles for the intersection and combined area for the union.
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Explain the concept of a power set.
A power set is the set of all possible subsets of a given set, including the empty set and the set itself.
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Differentiate between a finite set and an infinite set.
A finite set has a limited number of elements, while an infinite set has an unlimited number of elements.
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Explain the union of two sets.
The union of two sets A and B is the set of elements that are in A, in B, or in both.
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What is the intersection of two sets?
The intersection of two sets A and B is the set of elements that are common to both A and B.
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List the types of sets.
Types of sets include finite, infinite, equal, null, and singleton sets.
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Define a set.
A set is a well-defined collection of distinct objects.
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What is a null set?
A null set is a set that contains no elements.
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