Introduction to Set

Question 5: Diagram below shows a Venn diagram with the number of elements of set P, set Q and set R. It is given that the universal set, ξ=P∪Q∪R and n( Q‘ )=n( Q∩R ). Find the value of x. Solution: n(Q)’ = n(Q ∩ R) 3 + 8 + 5 = x– 3 + 9 16 … Read more

Question 1: List all the subsets of set P = {r, s}.   Solution: There are 2 elements, so the number of subsets of set P is 2n = 22= 4. Set P = {r, s} Therefore subsets of set P = {r}, {s}, {r, s}, { }. Question 2:   Diagram above shows a … Read more

  (B) Subsets 1. If every element of a set A is also an element of a set B, then set A is called subset of set B. 2. The symbol ⊂ is used to denote ‘is a subset of’. Therefore, set A is a subset of set B. In set notation, it is written as A ⊂ B. Example: A = … Read more

Universal Set 1. Universal set is a set that contains all the elements under consideration. 2. In set notation, the symbol ξ denotes a universal set. 3. All the other sets are subset to the universal set. (A) Represent sets by using Venn diagram 1. A set can be represented by a Venn diagram using closed geometry shapes … Read more

11.1 Definition of Set 1. A set is a collection of objects according to certain characteristics 2. The objects in a set are known as elements. 3. Sets are usually denoted by capital letters and notation used for sets is braces, {   }. Example: A = {1, 3, 5, 7, 9}   4. In set notation, the symbol ∈ means … Read more