Here are som e examples of sets defined by stating the properties satisfied by the elements:

• If the set C is defined as C = {x|x ∈ Z,−2 ≤ x < 10}, then C = {−2,−1, 0,⋯, 9}.
• If the set D is defined as D = {x²|x ∈ N}, then D = {1, 4, 9, 16,⋯}.
• The set of rational numbers can be defined as Q = {a/b|a, b ∈ Z, b ≠ 0}.
• For real numbers a and b, where a < b, we can write (a, b] = {x ∈ R ∣ a < x ≤ b}.
• C = {a+bi ∣ a, b ∈ R, i = √−1}.