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Understanding Subsets and Venn Diagrams: Exercises and Examples

This document provides a series of exercises focused on subsets, power sets, and Venn diagrams using various numerical sets. It includes exercises to determine whether given statements are true or false, as well as comprehensive tasks challenging students to write down subsets and power sets for defined sets, such as A = {1, 2, 3, 4} and other examples. Additionally, it covers Venn diagrams which visually represent relationships between sets, particularly illustrating intersections and unions of different sets. An interactive teacher-led element encourages further exploration of set theory concepts.

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Understanding Subsets and Venn Diagrams: Exercises and Examples

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  1. We will chake the answer

  2. Chake Answer Exercises 1.3 Page 12 Geven A = {2,{4,5},4} each of the follwing is True (T) or False (F) False False True False False True

  3. Chake Answer Exercises 1.3 Page 12 2. Write down all the subset Each of the following 1.{1} {1}, { } 2.{1,2} {1}, {2}, {1,2}, { }

  4. Chake Answer Exercises 1.3 Page 12 2. Write down all the subset Each of the following 3.{-1,0,1} {-1}, {0}, {1}, {-1,0}, {-1,1}, {0,1}, {-1,0,1}, { }

  5. Chake Answer Exercises 1.3 Page 12 3. Write down Power sets Each of the following {{5}, { }} 1.{5} 2.{0,1} {{0}, {1}, {0,1}, { }}

  6. Chake Answer Exercises 1.3 Page 12 3. Write down Power sets Each of the following {3,4}, 3.{2,3,4} {{2}, {3}, {4}, {2,3}, {2,4}, {2,3,4}, { }}

  7. Chake Answer Exercises 1.3 Page 12 4. Given A = {1,2,3,4} Write the subset from one element , and two elements Subsets formed from one element is {1}, {2}, {3}, {4} Subsets formed from two elements are {1,2}, {1,3}, {1,4}, {2,3}, {2,4} {3,4}

  8. Example Given A = {1,2,3,4} and B = {3,4,5,6} , Write the Venn Diagrams U A B 1 3 5 2 4 6

  9. Example Given U= {a,b,c,…,z} and A = {a,b,c,d} B = {e,f,g}, andC={h,i,j,k} Write the Venn Diagrams A B a b e f c d C g h i j k

  10. Example Given U = {x:x natural number less than 20} A = {x:x natural number less than 7} B = {x:x positive odd number less than 7} Write the venn diagrams Solutions U = {1,2,3,…,19} A = {1,2,3,4,5,6} B = {1,3,5} U 6 7 A 9… 8 1 B 4 5 3 2 19

  11. Venn Diagrams Venn Diagrams are visual representations regarding the Relationship between sets The universal set U is shown by a rectangle , subset of the Universal set are drawn as ovals or circles inside the rectangle And arae usually labelled with a capital letter U A

  12. U For example U= {all cars} A A= {red cars} The circular region A in the Venn diagram represents the set of red cars which are not red are represented by the green region

  13. The following Venn diagrams show how two sets A and B (which are subsets of U) can be related Set B is a subset of set A , so B is drawn inside A U B A

  14. Some elements are common to both sets A and B U B A

  15. The two sets do not have common elements. U B A

  16. Home work Exercises 1.3 Page… 13 5.Which the following given that U is a natural Number , draw a Venn diagrams 1. A={1,2,3,4,…,10} 3. A={1,2,3,4,…,10} B={1,3,5,7,9} B={1,3,5} 2. A={1,2,3,4,…,10} C={2,4,6} B={1,3,5,7,9} C={1,3,5}

  17. Teacher Mr.Chawang Stand SW 100 Click when ready  Caerfully your assignments

  18. See you again next class

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