Intersection and union of 2 sets

Lessons

• Introduction
  Introduction to Intersection and Union of 2 Sets
  a)

  Intersection of Two Sets
  
  
  b)

  Union of Two Sets
  
  
  c)

  A\B (A minus B)
  
  
  d)

  Principle of Inclusion and Exclusion
  
  

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• 1.
  Finding the Intersection & Union of 2 Sets

  You are given the following Venn diagram:

  

  a)

  Find A$\cap$C and n(A$\cap$C).
  
  
  b)

  Find A$\cup$C and n(A$\cup$C).
  
  
  c)

  Find C\A.
  
  
  d)

  Find (A$\cap$B)'
  
  

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• 2.
  Consider the following:

  - Universal Set $U =$ {1, 2, 3, 4, 5, 6, 7, 8}

  - Set A = {1,2,3,4,5,6}

  - Set B = {2,4,6,8}

  a)

  Draw a Venn diagram to represent these sets.
  
  
  b)

  Find A$\cap$B and n(A$\cap$B).
  
  
  c)

  Find A$\cup$B and n(A$\cup$B).
  
  
  d)

  Find A\B.
  
  
  e)

  Find (A$\cup$B)'
  
  

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• 3.
  Consider the following:

  - A = {$m | m = 4x, 0 \leq x \leq 3, x \in I$}

  - B = {$n | n = 2x, 0 \leq x \leq 6, x \in I$}

  a)

  Draw a Venn diagram to represent these sets
  
  
  b)

  Find A$\cap$B and n(A$\cap$B).
  
  
  c)

  Find A$\cup$B and n(A$\cup$B).
  
  
  d)

  Find A\B.
  
  

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• 4.
  Using the Principle of Inclusion and Exclusion

  Kevin asked 50 people if they liked to play soccer or basketball. 10 people didn't like either of them. 25 people liked soccer. 30 people liked basketball. How many people liked both soccer and basketball?

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• 5.
  Willy surveyed 30 people at a restaurant to see if they ordered noodles or rice. 10 people ordered both rice and noodles. 5 people only ordered a drink. 3 people ordered only rice.
  a)

  Draw a Venn diagram and label the missing information.
  
  
  b)

  Find the missing information using the principle of inclusion and exclusion.
  
  

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