REVISION 2 DISCRETE MATH

Which of the following represents set A = {1, 4, 9, 16, 25,..} in set builder form?

• A = {x | x = n² and n ϵ N}

• A = {x | x = n² and n ϵ Z}

• A = {x | x = n² and n ϵ W}

Express in set-builder notation:
A = {1,4,9,16,25,36}

• B = {x² | x ϵ N and 1 ≤ x ≤ 6}

• A = {x | x ϵ N and 1 ≤ x ≤ 6}
  

• A = {x² | x ϵ N and 1 ≤ x ≤ 6}
  

• A = {2x | x ϵ N and 1 ≤ x ≤ 6}
  

All of the X values or inputs are called ________.

•   Range

  
  

• Domain

• Function

  
  

What is the range of the relation shown?

• Ran = {3, 5, 8}

• Ran = {-7, 11}

  
  

• Ran = {-7, 11, 3, 5, 8}

  
  

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10},
A = {2, 4, 6, 8,10},
B = (1, 3, 6, 7,8},
C = {3, 7}

List the elements in : B’

• B’ = {2, 4, 10}

• B’ = {2, 4, 5, 7, 9, 10}

• B’ = {2, 4, 5, 9, 10}

• B’ = {2, 4, 5, 6, 9, 10}

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10},
A = {2, 4, 6, 8,10},
B = (1, 3, 6, 7,8},
C = {3, 7}

List the elements in : A-B

• A – B = {2, 4, 10}

• A – B = {6, 8}

• A – B = {2, 4, 5, 10}

• A – B = {2, 4, 5, 7, 10}

For the following Venn Diagrams, the numbers show the cardinality of the elements. State the number of elements of the following sets n(E ∩ F)

• n(E ∩ F) = 23

• n(E ∩ F) = 20

• n(E ∩ F) = 5

• n(E ∩ F) = 20

For the following Venn Diagrams, the numbers show the cardinality of the elements. State the number of elements of the following sets: n(E∩F∩G)`

• n(E∩F∩G)` = 23

• n(E∩F∩G)` = 14

• n(E∩F∩G)` = 3

• n(E∩F∩G)` = 20

Find 𝑥 or 𝑦 so that the statement is TRUE.

(3𝑥 + 1, 2) = (7,2)

• 𝒙 = 18

• 𝒙 = 3

• 𝒙 = 𝟐

• 𝒙 = 7

Let 𝐴 = {𝑎, 𝑏} and 𝐵 = {4,5,6}. List the elements in:

𝐴 × 𝐵