MATHEMATICS IS A LOT OF FUN - SETS.pptx

UNDERSTANDING ABOUT SETS

1. VOLUME OF CYLINDER MARIA ELENITA E. TOTON, LPT

2. VOLUME OF CYLINDER Name

3. VOLUME OF CYLINDER MARIA ELENITA E. TOTON, LPT

4. VOLUME OF CYLINDER MARIA ELENITA E. TOTON, LPT

5. SETS

6. LEARNING TARGET: ILLUSTRATE WELL-DEFINED SETS, SUBSETS, UNIVERSAL SET, A NULL SET, AND CARDINALITY OF SETS DETERMINE THE UNION AND INTERSECTION OF SETS SOLVE PROBLEMS INVOLVING SETS WITH THE USE OF VENN DIAGRAM

7. SETS - is a well-defined collection/group of distinct objects. A well-defined set is a collection of objects that has a clear rules for determining which objects are in the set.

8. How to properly name a set? - Use upper case/big letters of the E nglish A lphabet Example: Set of Months, or A = { January, February, March} A has 3 members which is called element . The number of elements of a set is called cardinality of set. The cardinality of A is 3 which can be written in symbol; n (A) = 3

9. VOLUME OF CYLINDER MARIA ELENITA E. TOTON, LPT

10. VOLUME OF CYLINDER MARIA ELENITA E. TOTON, LPT

11. VOLUME OF CYLINDER MARIA ELENITA E. TOTON, LPT

12. SUBSET = Set A is said to be a subset of Set B if all the elements of Set A are also in Set B. In other words, Set A is contained inside Set B and the symbol is c . A c B can be read as A is a subset of B Example: B = { 1, 2, 3, 4 } Ways in listing subset: 4 elements: {1,2,3,4} 3 elements: {1,2,3} , {1,2,4} , {1,3,4}, {2,3,4} 2 elements: {1,2} , {1,3} , {1,4} , {2,3} , {2,4} , {3,4} 1 element: {1} , {2} , {3} , {4} 0 element: { } null set = empty set or does not contain values or elements You can check the number of subset through the formula: Where n = number of elements  

13. Subsets of Set B = {1,2,3,4 } 4 elements: {1,2,3,4} 3 elements: {1,2,3} , {1,2,4} , {1,3,4}, {2,3,4} 2 elements: {1,2} , {1,3} , {1,4} , {2,3} , {2,4} , {3,4} 1 element: {1} , {2} , {3} , {4} 0 element: { } Proper Subset – Set A is proper subset of Set B if Set B contains atleast one element that is not present in Set A. This means that Set A has less cardinality than Set B. The symbol of it is c. A c B can be read as A is a proper subset of B

14. Subsets of Set B = {1,2,3,4 } 4 elements: {1,2,3,4} Not Proper S ubset or I mproper S ubset 3 elements: {1,2,3} , {1,2,4} , {1,3,4}, {2,3,4} 2 elements: {1,2} , {1,3} , {1,4} , {2,3} , {2,4} , {3,4} 1 element: {1} , {2} , {3} , {4} 0 element: { } Proper Subset – Set A is proper subset of Set B if Set B contains atleast one element that is not present in Set A. This means that Set A has less cardinality than Set B. The symbol of it is c. A c B can be read as A is a proper subset of B

15. Group Work Identify the following in the given set E = {2,4,6,8,10} 1. list the elements 2. n (E) = 3. List all the subsets 4. List all the proper subset