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

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Sets: Union, Intersection, Disjoint, Subset, Superset, Equal, Null, Empty, Universal

## Set Notations

By enumeration or description

S={2,3,4)

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 2^n subsets are formed

## Operations

Union

Intersection

Complement

Universal

## Laws of Set Operations

Commutative Law a+b=b+a or ab=ba

Associative law: a+(b+c)=(a+b)+c

Distributive law: a(b+c)= (ab)+(bc)

Commutative or

Associative

Distributive

-Mayank