Sets and their language

Sets: a collection of well defined and distinct objects. These objects that form a part the set are called elements.

Example: the set of even whole numbers from 3 to 8.

• Finite

• Infinite

• Empty or Null

• Equivalent

• Equal

• Subsets

• Universal

A set which contains a definite number of elements is called a finite set.

A set which contains infinite number of elements is called an infinite set.

To show that a set is infinite when listing elements this symbol is normally used either at the beginning or the end: ...

E.g. Set of Integers {..., -2, -1, 0, 1, 2, ...}

To show that a set is infinite when listing elements this symbol is normally used either at the beginning or the end: ...

A set with no elements.

The symbols used for empty set is: {}

The symbol used for null set is: Ø

However they both mean the same thing.

These are sets with the same number of elements.

The symbol for equivalence is: ≡

Sets with the same or exact elements. (In number and name.)

The symbol used to show that sets are equal is: =

The largest set from which all elements are taken.

The set containing all objects or elements and of which all other sets are subsets.

• Sentence or a statement

• List form or Roster form

• Set builder form

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• Disjoint

• Intersecting

• Subset