Set Notations and Elements
A set is always composed of precisely defined elements. These elements are written between curly braces and separated by commas.
In the example above, set A contains four elements: the numbers 2, 4, 6, and 8.
∈ and ∉ Notations
- The ∈ symbol indicates that an element belongs to the set. For example: 4 ∈ A.
- The ∉ symbol indicates that an element is not part of the set. For example: 5 ∉ A.
Ways to Define Sets
- By enumeration: A = {1,2,3,4,5}.
- By property: B = {x | x is an even number and x < 10}.
Examples with Everyday Elements
- The class students: {Anna, Béla, Csilla, Dénes}.
- The colors of the rainbow: {red, orange, yellow, green, blue, indigo, violet}.
- The Hungarian vowels: {a, á, e, é, i, í, o, ó, ö, ő, u, ú, ü, ű}.
Practice Exercise
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