# Sets YouTube Lecture Handouts: Set Notations, Relationship of Sets, Operations, Laws of Sets

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## Set Notations

By enumeration or description

I = {x|x is positive integer}

I is set of all numbers x, such that x is positive integer

Set is finite number of elements , not ordered

2

## Relationship of Sets

- Equal
- Disjoint
- Subset/Superset
- Null or empty set (different from {0} )
- Universal set
- 2 sets – some element in common but some are peculiar (so neither equal, nor disjoint, nor subset)
- If set as n elements – then total subsets are formed

## Operations

- Union
- Intersection
- Complement
- Universal

## Laws of Set Operations

- Commutative Law a + b = b + a or a b = b a
- Associative law: a + (b + c) = (a + b) + c
- Distributive law: a (b + c) = (a b) + (b c)
- Commutative or
- Associative
- Distributive

✍ Mayank