## 3.5.4 Sets, SPM Paper 2 (Long Questions)

Question 7:The Venn diagrams in the answer space shows sets P, Q and R such that the universal set, ξ=P∪Q∪R .On the diagrams in the answer space, shade set(a) P ∩ Q,(b) P ‘ ∩Q∪R Solution: (a)  P ∩ Q(b)  P ‘ ∩Q∪R Question 8:The Venn diagrams in the answer space shows sets P, Q … Read more

## 3.5.3 Sets, SPM Paper 2 (Long Questions)

Question 5:The Venn diagrams in the answer space shows sets P, Q and R such that the universal set, ξ=P∪Q∪R On the diagrams in the answer space, shade(a) P ∩ Q,(b) Q∩( P ‘ ∪R). Solution: (a)  P ∩ Q(b) Q∩( P ‘ ∪R). Question 6:The Venn diagrams in the answer space shows sets P, … Read more

## 3.5.2 Sets, SPM Paper 2 (Long Questions)

Question 3: (a) The Venn diagrams in the answer space shows sets P and Q such that the   universal set, ξ = P υ Q.   Shade the set P ∩ Q. (b) The Venn diagrams in the answer space shows sets X and Y and Z, such that   the universal set, ξ = X υ Y υ Z.   Shade the set (X υ Z) … Read more

## 3.5.1 Sets, SPM Paper 2 (Long Questions)

Question 1: The Venn diagrams in the answer space shows sets X, Y and Z such that the universal set, ξ = X ∪ Y ∪ Z On the diagrams in the answer space, shade ( a ) X’ ∩ Y , ( b ) ( X ∪ Y’ ) ∩ Z Solution: (a)  • … Read more

## 3.4.2 Sets, SPM Practice Paper 1 (Short Questions)

3.4.2 Sets, SPM Practice Paper 1 (Short Questions) 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 … Read more

## 3.4.1 Sets, SPM Paper 1 (Short Questions)

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

## 3.3b Union of Sets

3.3b Union of Sets   1. The union of set A and set B, denoted by A υ B is the set consisting of all elements in set A or set B or both the sets. The Venn diagram of A υ B is illustrated as below:   2. The union of set A, set B and set C, denoted by A υ B υ C is the … Read more

## 3.3a Intersection of Sets

3.3a Intersection of Sets   1. The intersection of set P and set Q, denoted by P ∩ Q  is the set consisting of all elements common to set P and set Q. 2. The intersection of set P, set Q and set R, denoted by P ∩ Q ∩ R  is the set consisting of all elements common … Read more

## 3.2c Complement of a Set

3.2c Complement of a Set 1. The complement of set B is the set of all elements in the universal set, ξ, which are not elements of set B, and is denoted by B’. Example 1: If ξ = {17, 18, 19, 20, 21, 22, 23} and B = {17, 20, 21} then B’ = {18, 19, 22, 23} … Read more

## 3.2b Universal Sets

3.2b 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. Example: Given that the universal set, ξ = {whole numbers less than 9}, A = {prime number} and B = {multiple of 4}. (a) List all the elements of set A and … Read more