Set Builder Calculator

Set-builder notation is a mathematical shorthand for describing a set by stating the properties that its members must satisfy.

The general format is { variable | rule } or { variable : rule }.

• The part before the | or : is the variable (e.g., x, n, y).
• The part after is the rule or condition that the variable must meet.

Example: {x | x ∈ ℕ, x < 5}

• x is the variable.
• x ∈ ℕ means "x is an element of the set of Natural Numbers (1, 2, 3, ...)"
• x < 5 is the condition "x is less than 5".
• The resulting set is {1, 2, 3, 4}.

Common Symbols: ℕ (Natural Numbers), ℤ (Integers), ℝ (Real Numbers).