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Lesson 1: Unions and Intersections of Sets

Last updated about 5 years ago
35 questions
Note from the author:
Edited from Jason Murphy's lesson to uncluding shading of two sets before moving onto three.
10

Problem 1 Got It? Match each set. Sets may be used more than once.

  • { 2, 4}
  • {1, 2, 3, 4}
  • P = {x|x is a whole number less than 5}
  • Q = {y|y is an even natural number less than 5}
  • P Ï… Q
10

Problem 1 Got It? Reasoning: What is true about the union of two distinct sets if one set is a subset of the other?

10

Problem 2 Got It?

10

Problem 2 Got It?

10

Problem 2 Got It?

10

Problem 3 Got It? Draw a Venn diagram to represent the union and intersection of the following sets.

A = {x|x is one of the first five letters in the English alphabet}
B = {x|x is a vowel}
C = {x|x is a letter in the word VEGETABLE}

10

Problem 3 Got It?

10
10
10
10
10

Vocabulary: Suppose A and B are nonempty sets. Which contains more elements: A ⋃ B or A ∩ B ? Explain your reasoning.

10

Compare and Contrast: How are unions and intersections of sets different?

5

True or False: If x is an element of set A and x is not an element of set B, then x is an element of A ∪ B.

5

True or False: If x is an element of set A and x is an element of set B, then x is an element of A ∩ B.

10

Complete the Venn diagram using sets A and B. A = {1, 3, 5, 7, 9} B = {2, 3, 4, 5}

5

Use Your Vocabulary: Is the set {apple, banana, cheese, milk, pear, yogurt} the union or intersection of the sets D and F below?

D = {cheese, milk, yogurt}
F = {apple, banana, pear}
M = {bread, cheese, egg}

5

Use Your Vocabulary: Is the set {cheese} the union or intersection of the sets D and M below?
D = {cheese, milk, yogurt}
F = {apple, banana, pear}
M = {bread, cheese, egg}

5

Use Your Vocabulary: Is the empty set the union or intersection of the sets F and M below?
D = {cheese, milk, yogurt}
F = {apple, banana, pear}
M = {bread, cheese, egg}

10

Shade the region indicated

10

Shade the region indicated

10

Shade the region indicated

10

Shade the region indicated

10

Identify the reasons using set symbols (use lower case n for intersect and lower case u for Union - no spaces)

10

Identify the reasons using set symbols (use lower case n for intersect and lower case u for Union - no spaces)

10

Identify the reasons using set symbols (use lower case n for intersect and lower case u for Union - no spaces)


MORE CHALLENGING SECTION - THREE SETS
1

Shade the region indicated

1

Shade the region indicated

1

Shade the region indicated

1

Shade the region indicated

1

Shade the region indicated

1

Shade the region indicated

1

Shade the region indicated

1

Shade the region indicated

1

Shade the region indicated

Check your answers here for Q27-35