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There are way more than just 2 methods.

1. Write down the elements, works well for finite sets.

e.g.{1, 2, 3, pi, apple}

2. Sets have a pattern, P

e.g. {a | a x b < 0} (of course provided ba ahead of time)

2' Sets have a symbol or a name

e.g. Complex Numbers (denotes as a bolded C)

3. Countable sets, sets that can be written in a sequence.

Sequence (an)

Set {an}

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