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A set is a group of objects that are related in some way.

An element is an object that belongs to a set.

e.g. 1 - Colours of the rainbow

The colours of the rainbow are a set.

Blue is an element of the colours of the rainbow.

So, we can say:

The element "blue" is a member of the set "colours of the rainbow".

e.g. 2 - Odd integers between 0 and 10

This set is of odd whole numbers between 0 and 10.

The elements that belong to this set are 1, 3, 5, 7 & 9. We can right this in short hand by wrapping the elements in a set of braces.

{1, 3, 5, 7, 9} - this means a set with the elements 1, 3, 5, 7 & 9.

So we can say:

The elements 1, 3, 5, 7 & 9 are members of the set of odd integers between 0 and 10.

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Q: Explain what constitutes a Set and the Elements of the set?
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