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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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  5. Mathematics 7 Quarter 1 – Module 2: Problems …

    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 …

  6. SOLVING WORD PROBLEMS INVOLVING SETS

    Problem 1 : There are 40 students in a class. 20 take Chemistry and 25 take French. 8 students take both. (i) Find how many students take none. (ii) How many are there in at least one classes? Solution : Total number of students = …

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  10. Set Operations - Solved Example Problems

    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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