FAQs on Two Sets Explained with Easy Examples Video Lecture - Logical Reasoning (LR) and Data Interpretation (DI) - CAT
1. What are sets in mathematics? |
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Ans. In mathematics, sets are collections of distinct objects, called elements, that are well-defined and can be identified by specific properties or characteristics. For example, a set of fruits can include elements like apples, oranges, and bananas.
2. How are two sets represented in mathematics? |
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Ans. In mathematics, two sets are usually represented using set notation. Set notation uses curly braces { } to enclose the elements of a set. For example, if Set A contains the elements 1, 2, and 3, and Set B contains the elements 2, 3, and 4, they can be represented as A = {1, 2, 3} and B = {2, 3, 4}.
3. What is the intersection of two sets? |
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Ans. The intersection of two sets refers to the elements that are common to both sets. It is represented by the symbol ∩. For example, if Set A = {1, 2, 3} and Set B = {2, 3, 4}, their intersection is {2, 3}, as these elements are present in both sets.
4. How is the union of two sets determined? |
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Ans. The union of two sets refers to the combination of all elements from both sets without duplication. It is represented by the symbol ∪. For example, if Set A = {1, 2, 3} and Set B = {2, 3, 4}, their union is {1, 2, 3, 4}, as it includes all the elements from both sets.
5. Can a set be empty? |
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Ans. Yes, a set can be empty, meaning it has no elements. An empty set is denoted by the symbol ∅ or { }. It is different from a set that contains the element 0.