Definition of subset - Math Insight

A set A is a subset of another set B if all elements of the set A are elements of the set B. In other words, the set A is contained inside the set B. The ... Skiptonavigation(PressEnter) Skiptomaincontent(PressEnter) Home Threads Index About PageNavigation Top Contactus login Definitionofsubset   Aset`A`isasubsetofanotherset`B`ifallelementsoftheset`A`areelementsoftheset`B`.Inotherwords,theset`A`iscontainedinsidetheset`B`.Thesubsetrelationshipisdenotedas`A\subsetB`. Forexample,if`A`istheset`\{\diamondsuit,\heartsuit,\clubsuit,\spadesuit\}`and`B`istheset`\{\diamondsuit,\triangle,\heartsuit,\clubsuit,\spadesuit\}`,then`A\subsetB`but`B\not\subsetA`.Since`B`containselementsnotin`A`,wecansaythat`A`isapropersubsetof`B`.Orif`I_1`istheinterval`[0,2]`and`I_2`istheinterval`[0,1]`,then`I_2\subsetI_1`.