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

• 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

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