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Sets and elements

A set is a collection of elements. It is described by all its elements.

The set $$\N$$ of the natural numbers consists of 1, 2, etc.

The set of the letters of ALI BABA consists of the elements A, L, I and B.

When we define the set by listing its elements, we put them in braces (curly brackets { }) separated by commas.

The set of the letters of ALI BABA is written as $$\{A,B,I,L\}$$.

The set of the integers can be written as $$$\Z =\{0, 1, -1, 2, -2, 3, -3, \dots\}$$$

The order in which the elements are written does not matter.

$$\{0,1,3,5\}$$ and $$\{3,1,5,0\}$$ are the same set.

The set of the primary and secondary colours.
The set of the primary and secondary colours.