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union · intersection · difference · power set · Venn diagram
[
sets
]
Set A
Set B
Universal Set U (for complement)
[
venn diagram
]
[
operations
]
A ∪ B (union)
{1, 2, 3, 4, 5, 6, 7}
A ∩ B (intersection)
{3, 4, 5}
A \ B (A minus B)
{1, 2}
B \ A (B minus A)
{6, 7}
A △ B (symmetric diff)
{1, 2, 6, 7}
Aᶜ (complement of A in U)
{6, 7, 8, 9, 10}
Bᶜ (complement of B in U)
{1, 2, 8, 9, 10}
|A|
5
|B|
5
|A ∪ B|
7
|A ∩ B|
3
[
power set of A (2^5 = 32 subsets)
]
∅
{1}
{2}
{1,2}
{3}
{1,3}
{2,3}
{1,2,3}
{4}
{1,4}
{2,4}
{1,2,4}
{3,4}
{1,3,4}
{2,3,4}
{1,2,3,4}
{5}
{1,5}
{2,5}
{1,2,5}
{3,5}
{1,3,5}
{2,3,5}
{1,2,3,5}
{4,5}
{1,4,5}
{2,4,5}
{1,2,4,5}
{3,4,5}
{1,3,4,5}
{2,3,4,5}
{1,2,3,4,5}
>
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