Set Notation and Sets of Numbers (VCE SSCE Mathematical Methods): Flashcards

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Set Notation and Sets of Numbers
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Definition: set

A collection of objects

Meaning of \in

Is an element of

Meaning of \notin

Is not an element of

Meaning of BAB \subseteq A

BB is a subset of AA

ABA \cap B (intersection)

Elements common to both AA and BB

ABA \cup B (union)

All elements in AA or BB (or both)

ABA \setminus B (set difference)

Elements in AA but not in BB

N\mathbb{N} (natural numbers)

Counting numbers: {1,2,3,}\{1, 2, 3, \ldots\}

Nested structure of number sets

NZQR\mathbb{N} \subseteq \mathbb{Z} \subseteq \mathbb{Q} \subseteq \mathbb{R}

Interval notation: ( ) vs [ ]

( ) excludes endpoint; [ ] includes it

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