Math Symbols
The Most Valuable and Important
Symbols For Set Notation In Use:
"Union of Sets"
Background - why math symbols are used. . .
Symbols are a concise way of giving lengthy instructions related to
numbers and logic.
Math Symbols are an invention, not a discovery. They are a
communication tool. Symbols are used to eliminate
the need to write long, plain language instructions to describe
calculations and other processes.
The most valuable, most frequently used Symbols in mathematics . . .
The most important, most frequently used Symbols for Set Notation
are listed below.
Symbols for Set Notation - click symbol
To See
All Symbols
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Math Symbol for the "Union of Sets" -
D  A means combine Set "D" with Set "A":
(1)
Every element (without exception) contained in Set "D" is combined with every element present in Set "A".
And . . .
(2)
If Set "D" and Set "A" have any elements which are the same, that element is listed only once in the combined set.
Example 1:
, Set A: A = {a, b, c, d}
Set D: D = {e, f}
. . .
The "Union" of Set "D" and Set "A" produces a new set which contains all the elements of both sets: a, b, c, d, e, f
D A = {a, b, c, d, e, f}
Example 2:
, Set B: B = {1, 3, 9, 11, 13, 14}
Set E: E = {1, 3, 9, 11}
. . .
Both Set "E" and Set "B" contain some of the same elements: 1, 3, 9, 11. These elements will only be listed once in the new, combined set.
E B = {1, 3, 9, 11, 13, 14}
Note: When both SETS contain the same element, that element is listed only once in the new, combined set.
Example 3:
, Set C: C = {dog, horse, bird,
rabbit, cat}
Set F: F = {cat, rabbit}
. . .
Both Set "F" and Set "C" list the following elements in a different order: rabbit, cat
F C = {dog, horse, bird,
rabbit, cat}
Note: the elements within a SET can be listed in any order.
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