Lesson 1: Unions and Intersections of Sets
By Ms Susan CAREY
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Last updated almost 4 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
1.
Problem 1 Got It? Match each set. Sets may be used more than once.
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
2.
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 1 Got It? Reasoning: What is true about the union of two distinct sets if one set is a subset of the other?
10
3.
Problem 2 Got It?
Problem 2 Got It?
10
4.
Problem 2 Got It?
Problem 2 Got It?
10
5.
Problem 2 Got It?
Problem 2 Got It?
10
6.
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? 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
7.
Problem 3 Got It?
Problem 3 Got It?
10
8.
10
9.
10
10.
10
11.
10
12.
Vocabulary: Suppose A and B are nonempty sets. Which contains more elements: A ⋃ B or A ∩ B ? Explain your reasoning.
Vocabulary: Suppose A and B are nonempty sets. Which contains more elements: A ⋃ B or A ∩ B ? Explain your reasoning.
10
13.
Compare and Contrast: How are unions and intersections of sets different?
Compare and Contrast: How are unions and intersections of sets different?
5
14.
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 not an element of set B, then x is an element of A ∪ B.
5
15.
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 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
16.
Complete the Venn diagram using sets A and B.
A = {1, 3, 5, 7, 9}
B = {2, 3, 4, 5}
Complete the Venn diagram using sets A and B.
A = {1, 3, 5, 7, 9}
B = {2, 3, 4, 5}
5
17.
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 {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
18.
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 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
19.
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}
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
20.
Shade the region indicated
Shade the region indicated
10
21.
Shade the region indicated
Shade the region indicated
10
22.
Shade the region indicated
Shade the region indicated
10
23.
Shade the region indicated
Shade the region indicated
10
24.
Identify the reasons using set symbols (use lower case n for intersect and lower case u for Union - no spaces)
Identify the reasons using set symbols (use lower case n for intersect and lower case u for Union - no spaces)
10
25.
Identify the reasons using set symbols (use lower case n for intersect and lower case u for Union - no spaces)
Identify the reasons using set symbols (use lower case n for intersect and lower case u for Union - no spaces)
10
26.
Identify the reasons using set symbols (use lower case n for intersect and lower case u for Union - no spaces)
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
27.
Shade the region indicated
Shade the region indicated
1
28.
Shade the region indicated
Shade the region indicated
1
29.
Shade the region indicated
Shade the region indicated
1
30.
Shade the region indicated
Shade the region indicated
1
31.
Shade the region indicated
Shade the region indicated
1
32.
Shade the region indicated
Shade the region indicated
1
33.
Shade the region indicated
Shade the region indicated
1
34.
Shade the region indicated
Shade the region indicated
1
35.
Shade the region indicated
Shade the region indicated
Check your answers here for Q27-35