Venn Diagrams Venn diagram, invented in 1880 by John Venn, is a schematic diagram that shows all possible logical relations between different mathematical sets. Examples Set Operations Set Operations include Set Union, Set Intersection, Set Difference, Complement of Set, and Cartesian Product. Set Union The union of sets A and B (denoted by A ∪ B A ∪ B ) is the set of elements which are in A, in B, or in both A and B. Hence, A ∪ B = { x | x ∈ A O R x ∈ B } A ∪ B = { x | x ∈ A O R x ∈ B } . Example − If A = { 10 , 11 , 12 , 13 } A = { 10 , 11 , 12 , 13 } and B = { 13 , 14 , 15 } { 13 , 14 , 15 } , then A ∪ B = { 10 , 11 , 12 , 13 , 14 , 15 } A ∪ B = { 10 , 11 , 12 , 13 , 14 , 15 } . (The common element occurs only once) Set Intersection The intersection of sets A and B (denoted by A ∩ B A ∩ B ) is the set of elements which are in both A and B. Hence, A ∩ B = { x | x ∈ A A N D...
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