Grade 9 Set Builder Notation Worksheet
A worksheet for Grade 9 students to practice writing and interpreting sets using set builder notation.
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Standards
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Set Builder Notation Practice
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Date:
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Read each question carefully and follow the instructions to write or interpret sets using set builder notation.
1. Set builder notation is a mathematical notation for describing a set by stating the that its members must satisfy.
2. The vertical bar '|' or colon ':' in set builder notation is read as ' '.
Write the following sets using set builder notation:
3. The set of all even integers.
4. The set of all real numbers greater than 5.
5. The set of all natural numbers less than or equal to 10.
6. Which of the following represents the set of all integers 'x' such that 'x' is greater than -3 and less than or equal to 4?
{x ∈ Z | -3 < x < 4}
{x ∈ Z | -3 ≤ x ≤ 4}
{x ∈ Z | -3 < x ≤ 4}
{x ∈ Z | -3 ≤ x < 4}
Describe the following sets in words or by listing their elements:
7. A = {x ∈ N | x is a prime number and x < 15}
8. B = {y ∈ R | y² = 9}
9. The set {x ∈ Z | x > 0} represents the set of all positive integers.
True
False
10. Write the set of all integers whose square is less than 20 in set builder notation.