A level Maths Set Notation

Description

All the Set notation you are required to know for A-level maths: Sets
Andreas Spitz
Flashcards by Andreas Spitz, updated more than 1 year ago
Andreas Spitz
Created by Andreas Spitz over 7 years ago
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Resource summary

Question Answer
\[\in\] is an element of
\[\notin\] is not an element of
is a subset of
is a proper subset of
{\(x_1\), \(x_2\), ...} the set with elements \(x_1\), \(x_2\), ...
{\(x\) : ...} the set of all \(x\) such that
\(n\) (\(A\)) the number of elements in set \(A\)
\[\emptyset\] the empty set
ε the universal set
\[A^ ′ \] the complement of the set \(A\)
\[N\] the set of natural numbers, {1, 2, 3, ...}
\[Z\] the set of integers {0,\(\pm1\), \(\pm2\), \(\pm3\)...}
\[Z^+\] the set of positive integers, {1,2,3, ... }
\[Z^+_0\] the set of non-negative integers, {0, 1, 2, 3, …}
\[R\] the set of real numbers
\[Q\] the set of rational numbers,
\[\cup\] union
\[\cap\] intersection
(\(x\), \(y\)) the ordered pair \(x\), \(y\)
[\(a\), \(b\)] the closed interval {\(x\)\(\in\)\(R\) : \(a\)\(\leq\)\(x\)\(\leq\)\(b\)}
[\(a\), \(b\)) the interval {\(x\)\(\in\)\(R\) : \(a\)\(\leq\)\(x\)<\(b\)}
(\(a\), \(b\)] the closed interval {\(x\)\(\in\)\(R\) : \(a\)<\(x\)\(\leq\)\(b\)}
(\(a\), \(b\)) the open interval {\(x\)\(\in\)\(R\) : \(a\)<\(x\)<\(b\)}
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