Set Builder Notation Worksheet
A Grade 11 math worksheet focusing on understanding and writing sets using set builder notation, including operations and properties.
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Set Builder Notation Worksheet
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Read each question carefully and provide your answers using set builder notation where specified. Ensure your notation is clear and mathematically correct.
1. Write the set A = {2, 4, 6, 8, 10} in set builder notation.
2. Describe the set B = {x | x ∈ Z, -3 < x ≤ 2} in roster form.
3. The set of all odd integers can be written as {x | x ∈ Z, x is }.
4. The set {x | x ∈ N, x < 5} is equivalent to { }.
5. Which of the following represents the set of all real numbers greater than or equal to 5?
{x | x ∈ R, x > 5}
{x | x ∈ R, x ≥ 5}
{x | x ∈ Z, x ≥ 5}
{x | x ∈ Q, x ≥ 5}
6. The set {x | x ∈ N, x² < 10} is equal to {1, 2, 3}.
True
False
7. The set {x | x ∈ Z, 0 < x < 1} represents the empty set.
True
False
8. Write the interval [-2, 5) in set builder notation.
9. Represent the set {x | x ∈ R, x < 3 or x ≥ 7} using interval notation.
10. Draw a number line representing the set {x | x ∈ R, -4 ≤ x ≤ 1}.
11. Write the set of all even integers greater than 10 in set builder notation.
12. Consider the set C = {y | y = x² + 1, x ∈ Z, -2 ≤ x ≤ 2}. Write C in roster form.