Grade 11 Set Notation Worksheet
Explore fundamental concepts of set theory, including set operations, Venn diagrams, and notation for Grade 11 mathematics.
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Grade 11 Set Notation Practice
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Read each question carefully and answer to the best of your ability. Show all your work where applicable. Good luck!
1. A collection of distinct objects is called a .
2. The symbol used to denote an empty set is .
3. The of two sets contains all elements that are in both sets.
4. Which of the following represents the union of sets A and B?
A ∩ B
A ∪ B
A \ B
B \ A
5. If A = {1, 2, 3, 4} and B = {3, 4, 5, 6}, what is A ∩ B?
{1, 2, 3, 4, 5, 6}
{1, 2}
{3, 4}
{5, 6}
6. Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} be the universal set, A = {1, 3, 5, 7, 9}, and B = {2, 4, 6, 8, 10}. Find A'.
7. Given sets P = {x | x is an even number less than 10} and Q = {x | x is a prime number less than 10}. List the elements of P ∪ Q.
8. Use the Venn diagram below to answer the following questions.
a) List the elements of set A.
b) List the elements of set B.
c) List the elements of A ∪ B.
d) List the elements of A ∩ B.
9. If A is a subset of B, then A ∪ B = B.
True
False
10. The cardinality of the power set of a set with 'n' elements is 2n.
True
False