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What is a set in mathematics (Give examples)?
in Mathematics by Platinum (138,598 points) | 30 views

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Sets are collections of objects. Here are three examples:

 

1) The set of all snakes in the world;

2) The set of all leaves in a given forest;

3) The set of all two-digit integers that are divisible by 3 ;

In some cases it is possible to list all elements of the set. One such example is the set \(S\) of all two-digit integers that are divisible by 17 . We write
\[
S=\{17,34,51,68,85\} .
\]
The order in which we list the elements does not matter. This means that \(\{17,34,51,68,85\}\) is precisely the same set as \(\{34,51,17,68,85\}\). Also, repetitions of elements do not affect sets. The set \(\{17,17,34,34,51,68,85\}\) is the same old \(S\).
Usually we denote sets by capital letters from the alphabet.
by Platinum (138,598 points)

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