Set-Builder Notation
A shorthand used to write sets, often sets with an infinite number of elements.
Note: The set {x : x > 0} is read aloud, "the set of all x such that x is greater than 0." It is read aloud exactly the same way when the colon : is replaced by the vertical line | as in {x | x > 0}.
{formula for elements| restrictions} | ||
Examples: | {x: x ≠ 3} | the set of all real numbers except 3 |
{x | x < 5} | the set of all real numbers less than 5 | |
the set of all real numbers greater than or equal to 0 | ||
the set of all odd integers (e.g. |
See also
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