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Math Symbols
The Most Valuable and Important
Symbols For Set Notation In Use:

"PROPER Subset (right) of Set (left)"

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Background - why math symbols are used. . .

Symbols are a concise way of giving lengthy instructions related to numbers and logic.

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 Math Symbols . . .

          The most important, most frequently used Symbols for Set Notation  
          are listed below.  
           
		   
Symbols for Set Notation - click symbol    
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 - all symbols To See All Symbols click here
Math - Symbol for Subset (right) of Set (left) Symbol for "PROPER (1) Subset (right) of Set (left)" -
A Math - Symbol for PROPER Subset (right) of Set (left) D means Set "D" is a PROPER Subset of Set "A": (1) Every element (without exception) contained in Set "D" is also present in Set "A". And . . . (2) Set "D" cannot be equal to Set "A". (Set "D" must have a smaller number of elements than Set "A")
The math symbol Math - Symbol for PROPER Subset (right) of Set (left) is equivalent to and is interchangeable with Math - (another) Symbol for PROPER Subset (right) of Set (left) (notice the equal sign at the bottom edge of the symbol is crossed out, indicating the subset cannot be equal to the set). Both symbols mean exactly the same thing: a "Proper" Subset.

In contrast, the subset math symbol Math - Symbol for Subset (right) of Set (left) represents a subset, but not necessarily a Proper Subset. Item (2), above, does not apply. If this symbol is used, it indicates that the subset (labeled "D" in the example shown above) and the set (labeled "A" in the example shown above) can be equal.

Example 1: Math - Symbol for PROPER Subset (right) of Set (left) , Set A:   A = {a, b, c, d} Set D:   D = {a, c} (1) . . . Both Set "D" and Set "A" contain the following elements: a, c (2) . . . Set "D" and Set "A" are not equal. Set "A" contains more elements than Set "D". Set D is a "Proper Subset" of Set A A Math - Symbol for PROPER Subset (right) of Set (left) D
Example 2: Math - Symbol for PROPER Subset (right) of Set (left) , Set B:   B = {1, 3, 9, 11} Set E:   E = {9, 11} (1) . . . Both Set "E" and Set "B" contain the following elements: 9, 11 (2) . . . Set "E" and Set "B" are not equal. Set "B" contains more elements than Set "E". Set E is a "Proper Subset" of Set B B Math - Symbol for PROPER Subset (right) of Set (left) E
Example 3: Math - Symbol for PROPER Subset (right) of Set (left) , Set C:   C = {cat, bird, dog, horse, rabbit} Set F:   F = {rabbit, cat} (1) . . . Both Set "F" and Set "C" contain the following elements: cat, rabbit (2) . . . Set "F" and Set "C" are not equal. Set "C" contains more elements than Set "F". Set F is a "Proper Subset" of Set C C Math - Symbol for PROPER Subset (right) of Set (left) F Note: the elements within a SET/SUBSET can be listed in any order.



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