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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 Math - all symbols To See All Symbols click here Math - Brace Symbols used to Identify Sets Math - Null Set Math - Symbol for Element of a Set Math - Symbol for NOT Element of a Set Math - Symbol for Subset (left) of Set (right) Math - Symbol for NOT Subset (left) of Set (right) Math - Symbol for Subset (left) of Set (right) Math - (another) Symbol for PROPER Subset (left) of Set (right) Math - Symbol for Subset (right) of Set (left) Math - Symbol for NOT Subset (left) of Set (right) Math - (another) Symbol for PROPER Subset (right) of Set (left) Math - Symbol for UNION of Two Sets Math - Symbol for INTERSECTION of Two Sets Math - Specialized Set Notations N (natural numbers), Z (integers), Q (rational numbers), and R (real numbers)
Math - Symbol for UNION of Two Sets Math Symbol for the "Union of Sets" -
D Math - Symbol for UNION of Two Sets 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: Math - Symbol for UNION of Two Sets , 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 Math - Symbol for UNION of Two Sets A = {a, b, c, d, e, f}
Example 2: Math - Symbol for UNION of Two Sets , 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 Math - Symbol for UNION of Two Sets 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: Math - Symbol for UNION of Two Sets , 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 Math - Symbol for UNION of Two Sets C = {dog, horse, bird, rabbit, cat} Note: the elements within a SET can be listed in any order.



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