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Verbal Description | All negative integers greater than -5. |
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Roster Notation | {-1,-2,-3,-4} |
Set-Builder Notation | {x ∣ x is a negative integer greater than -5} |
Each way of describing a set will be discussed and a corresponding example will be shown.
the set of delicious dishesis not a valid description because delicious is not well-defined. However,
the set of desserts with chocolateis valid because including chocolate is an objective description.
∣or
:is written. Then, the common characteristics of the elements are defined. Finally, the whole notation is enclosed in curly brackets.
∣and
:are read as
such that.The above example can be read as
the set of all numbers x such that x is an odd integer greater than negative 3.