Lesson 1: Unions and Intersections of Sets

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 υ 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?

A

B

C

D

10

Problem 2 Got It?

A

B

C

D

10

Problem 2 Got It?

A

B

C

D

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?

A

B

C

D

10

A

B

C

D

10

A

B

C

D

10

A

B

C

D

10

A

B

C

D

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.

True

False

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.

True

False

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}

union

intersection

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}

union

intersection

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}

intersection

union

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

Lesson 1: Unions and Intersections of Sets

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

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

Problem 2 Got It?

Problem 2 Got It?

Problem 2 Got It?

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}

Problem 3 Got It?

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

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

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.

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.

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

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}

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}

Shade the region indicated

Shade the region indicated

Shade the region indicated

Shade the region indicated

Shade the region indicated

Shade the region indicated

Shade the region indicated

Shade the region indicated

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

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

Problem 2 Got It?

Problem 2 Got It?

Problem 2 Got It?

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}

Problem 3 Got It?

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

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

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.

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.

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

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}

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}

Shade the region indicated

Shade the region indicated

Shade the region indicated

Shade the region indicated

Shade the region indicated

Shade the region indicated

Shade the region indicated

Shade the region indicated

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}

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}

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}

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}

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}

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}

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}

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}