Changes: Subset

Revision as of 12:24, 20 April 2020

$A$ is a subset of a set $B$ if all of the elements in $A$ is also in $B$ . Note that $A$ may be equal to $B$ . This relationship is denoted by $A \subseteq B$ .

Defintion

$A\subseteq B=x\in A\to x\in B$

Proper subset

A set

$A$ is a proper subset of a set

$B$ if

$A$ is a subset of

$B$ but

$A\ne B$ . This relationship is denoted by

$A \subset B$ .

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@@ Line 2: / Line 2: @@
 <math>A</math>
+is a '''subset''' of a set <math>B</math> if all of the elements in <math>A</math> is also in <math>B</math>. Note that <math>A</math> may be equal to <math>B</math>. This relationship is denoted by <math>A\subseteq B</math>.
-is a '''subset''' of a set
-<math>B</math>
-if all of the elements in
-<math>A</math>
-is also in
-<math>B</math>
-. Note that
-<math>A</math>
-may be equal to
-<math>B</math>
-. This relationship is denoted by
-<math>A\subseteq B</math>
-.
 ==Defintion==
-<math>A\subseteq B = x\inA \to \inB </math>
+<math>A\subseteq B = x\in A \to x\in B </math>
 ==Proper subset==
 A set