Sets YouTube Lecture Handouts: Set Notations, Relationship of Sets, Operations, Laws of Sets
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Watch Video Lecture on YouTube: Sets: Union, Intersection, Disjoint, Subset, Superset, Equal, Null, Empty, Universal
Sets: Union, Intersection, Disjoint, Subset, Superset, Equal, Null, Empty, Universal
Set Notations
By enumeration or description
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S={2,3,4)
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I = {x | x is positive integer}
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I is set of all numbers x, such that x is positive integer
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Set is finite number of elements , not ordered
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2
Relationship of Sets
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Equal
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Disjoint
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Subset/Superset
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Null or empty set (different from {0})
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Universal set
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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
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Union
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Intersection
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Complement
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Universal
Laws of Set Operations
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Commutative Law a+b=b+a or ab=ba
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Associative law: a+(b+c)=(a+b)+c
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Distributive law: a(b+c)= (ab)+(bc)
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Commutative or
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Associative
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Distributive
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-Mayank