Set Builder Notation Worksheet

Set Builder Notation Practice

Read each question carefully and follow the instructions to write sets using set builder notation or interpret given set builder notation.

Write the following sets using set builder notation.

1. The set of all even integers.

2. The set of all real numbers greater than 5.

3. The set of integers x such that -3 < x ≤ 4.

Describe the elements of the following sets given in set builder notation.

1. {x | x ∈ ℝ, x ≤ 0}

2. {n | n ∈ ℤ, n is a positive multiple of 3}

3. {y | y ∈ ℝ, -2 < y < 2}

Choose the correct set builder notation for the given set.

1. The set of all natural numbers less than 7.

Determine if the following statements about set builder notation are true or false.

1. The set {x | x ∈ ℤ, x² = 4} is equivalent to {-2, 2}.

Draw a number line to represent the following set.

1. {x | x ∈ ℝ, x ≥ -1}

2. {x | x ∈ ℝ, -4 < x ≤ 1}