Venn Diagrams

If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} and A = {1, 4, 6, 8, 9}, what is A′?

• {2, 3, 5, 7, 10, 11, 12}
• {1, 4, 6, 8, 9}
• {}
• {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

Let A = {5, 8, 12, 13, 15} and B = {4, 6, 8, 12, 13}. What is A ∪ B?

• {4, 5, 6, 8, 12, 13, 15}
• {5, 15}
• {4, 6}
• {8, 12, 13}

If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} and A = {5, 7, 8, 10, 12}, what is A′?

• {5, 7, 8, 10, 12}
• {1, 2, 3, 4, 6, 9, 11}
• {}
• {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} and A = {3, 4, 7, 8, 9}, what is A′?

• {1, 2, 5, 6, 10, 11, 12}
• {3, 4, 7, 8, 9}
• {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
• {}

In a class of 45 students, 10 study only Algebra, 15 study only Geometry, and 12 study both. How many study Algebra or Geometry?

• 37
• 25
• 12
• 45
• 49

In a class of 39 students, 18 study only Algebra, 7 study only Geometry, and 8 study both. How many study Algebra or Geometry?

• 8
• 25
• 41
• 33
• 39

Let A = {5, 9, 11, 12, 15, 16} and B = {4, 5, 9, 12, 16}. What is A ∩ B?

• {11, 15}
• {}
• {4, 5, 9, 11, 12, 15, 16}
• {5, 9, 12, 16}

In a class of 53 students, 15 study only Algebra, 16 study only Geometry, and 6 study both. How many study Algebra or Geometry?

• 31
• 43
• 6
• 37
• 53

If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} and A = {2, 4, 6, 9, 10}, what is A′?

• {}
• {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
• {2, 4, 6, 9, 10}
• {1, 3, 5, 7, 8, 11, 12}

In a class of 37 students, 18 study only Algebra, 13 study only Geometry, and 11 study both. How many study Algebra or Geometry?

• 11
• 53
• 42
• 37
• 31

Let A = {3, 5, 6, 9, 10, 11} and B = {6, 7, 10, 11, 13, 17}. What is A ∩ B?

• {6, 10, 11}
• {3, 5, 9}
• {3, 5, 6, 7, 9, 10, 11, 13, 17}
• {}

If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} and A = {1, 3, 4, 5, 12}, what is A′?

• {}
• {1, 3, 4, 5, 12}
• {2, 6, 7, 8, 9, 10, 11}
• {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

Let A = {3, 7, 10, 14, 17} and B = {1, 4, 6, 7, 10, 14}. What is A ∩ B?

• {3, 17}
• {}
• {1, 3, 4, 6, 7, 10, 14, 17}
• {7, 10, 14}

In a class of 36 students, 17 study only Algebra, 9 study only Geometry, and 6 study both. How many study Algebra or Geometry?

• 26
• 6
• 32
• 36
• 38

Let A = {1, 5, 11, 12, 13} and B = {3, 6, 8, 10, 11}. What is A ∪ B?

• {11}
• {1, 3, 5, 6, 8, 10, 11, 12, 13}
• {1, 5, 12, 13}
• {3, 6, 8, 10}

If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} and A = {3, 7, 9, 10, 11}, what is A′?

• {}
• {1, 2, 4, 5, 6, 8, 12}
• {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
• {3, 7, 9, 10, 11}

Let A = {1, 2, 9, 13, 17} and B = {9, 10, 13, 15, 17}. What is A ∩ B?

• {1, 2}
• {1, 2, 9, 10, 13, 15, 17}
• {9, 13, 17}
• {}

Let A = {2, 3, 8, 10, 13} and B = {2, 3, 4, 6, 12, 13}. What is A ∩ B?

• {2, 3, 4, 6, 8, 10, 12, 13}
• {}
• {8, 10}
• {2, 3, 13}