Grade 10 Set Notation Worksheet
A Grade 10 math worksheet focusing on understanding and applying set notation, including union, intersection, complement, and Venn diagrams.
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Grade 10 Set Notation
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Read each question carefully and answer to the best of your ability. Show all your work where applicable.
1. Which of the following best describes the set A = {x | x is an even integer, 2 < x < 10}?
{2, 4, 6, 8, 10}
{4, 6, 8}
{3, 5, 7, 9}
{4, 6, 8, 10}
2. If U = {1, 2, 3, 4, 5, 6, 7, 8, 9} and A = {2, 4, 6, 8}, what is A' (the complement of A)?
{1, 3, 5, 7, 9}
{2, 4, 6, 8}
{1, 2, 3, 4, 5, 6, 7, 8, 9}
{}
1. The symbol used to denote the union of two sets is .
2. The set of all elements in a given context is called the set.
3. A set with no elements is called an set.
1. Let A = {a, b, c, d} and B = {c, d, e, f}. Find A ∪ B and A ∩ B.
2. Given the universal set U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, and set P = {x | x is a prime number}, find P'.
Use the Venn Diagram below to answer the following questions. Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, Set A = {2, 4, 6, 8}, Set B = {1, 2, 3, 4, 5}.
1. List the elements of A ∩ B.
2. List the elements of A ∪ B.
3. List the elements of (A ∪ B)'.
1. If A is a subset of B, then A ∩ B = A.
True
False
2. The cardinality of the set P = {prime numbers less than 10} is 5.
True
False