Problem Involving Sets Examples - Search
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  1. Examples of problems involving sets include12:
    • Given two finite sets A and B such that n(A) = 30, n(B) = 18, and n(A ∪ B) = 26, find n(A ∩ B).
    • Given n(A – B) = 12, n(A ∪ B) = 45, and n(A ∩ B) = 15, find n(B).
    • Given A ∩ (B ⋃ C) = (A ∩ B) ⋃ (A ∩ C), prove that A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C).
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    Word Problems on Sets | Solved Problems on Sets

    • 1. Let A and B be two finite sets such that n (A) = 30, n (B) = 18 and n (A ∪ B) = 26, find n (A ∩ B)? Solution: ...
    • 2. If If n (A – B) = 12, n (A ∪ B) = 45 and n (A ∩ B) = 15, then find n (B)? Solution: ...
    www.learncbse.in/word-problems-on-sets/

    A ∩ (B ⋃ C) = (A ∩ B) ⋃ (A ∩ C) [ verified] (ii) A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C) L.H.S. = A ∪ (B ∩ C) B ∩ C = {e, f} A ∪ (B ∩ C) = {a, b, d, e, f} ………………..

    www.math-only-math.com/problems-on-operation-…
     
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    The module is all about Solving Problems Involving Sets. After going through this module, you are expected to: 1. solve problems involving sets using Venn diagram; 2. apply set operations to solve a variety of word problems. MATH7 …

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    When two or more sets combine together to form one set under the given conditions, then operations on sets can be carried out. We can visualize the relationship between sets and set operations using Venn diagram.

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