logo for solving-math-problems.com
leftimage for solving-math-problems.com

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

"Subset (left) of Set (right)"

Math - Symbol for PROPER or IMPROPER Subset (left) of Set (right)

Math Symbols: . . . why math symbols are used . . .

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


Symbols are a communication tool. Symbols are used to eliminate the need to write long, plain language instructions to describe calculations and other processes.

For example, a single symbol stands for the entire process for addition. The familiar plus sign eliminates the need for a long written explanation of what addition means and how to accomplish it.

The same symbols are used worldwide . . .

The symbols used in mathematics are universal.

The same math symbols are used throughout the civilized world. In most cases each symbol gives the same clear, precise meaning to every reader, regardless of the language they speak.

The most valuable, most frequently used Symbols in mathematics . . .

The most important, most frequently used Symbols for Set Notation are listed below.


Return to All Math Symbols Page
Go To
"All Math Symbols"
click here
Return to Math Properties Page Return to Math Properties Page



Return to Top of Page
Return To
"Top of Page"
click here

Math - Symbol for Subset (left) of Set (right) Symbol for "Subset (left) to Set (right)" -

D Math - Symbol for Subset (left) of Set (right) A means Set "D" is a Subset of Set "A":


(1) Every element (without exception) contained in Set "D" is also present in Set "A".

And . . .


(2) Set "D" CAN be equal to Set "A". (It is not necessary for Set "D" to have a smaller number of elements than Set "A")

Technically, the math symbol Math - Symbol for Subset (left) of Set (right) is NOT equivalent to and is NOT interchangeable with Math - Symbol for PROPER Subset (left) of Set (right) (Notice the equal sign at the bottom edge of the symbol is missing. This indicates the subset cannot be equal to the set). Both symbols do not mean exactly the same thing.

The subset math symbol Math - Symbol for PROPER Subset (left) of Set (right) only represents a proper subset.

The subset symbol Math - Symbol for Subset (left) of Set (right) represents any subset.


Example 1: Math - Symbol for Subset (left) of Set (right) , Set A:   A = { a , b, c , d}

Set D:   D = { a , c }

. . . Both Set "D" and Set "A" contain the following elements: a, c

. . . Set D is a "Subset" of Set A

D Math - Symbol for Subset (left) of Set (right) A



Example 2: Math - Symbol for Subset (left) of Set (right) , Set B:   B = { 1, 3, 9, 11 }

Set E:    E = { 1, 3, 9, 11 }

. . . Both Set "E" and Set "B" contain the following elements: 1, 3, 9, 11

. . . Set E is a "Subset" of Set B

E Math - Symbol for Subset (left) of Set (right) B

Note: When the Math - Symbol for Subset (left) of Set (right) symbol is used, both the SET and SUBSET can be equal to one another.

Example 3: Math - Symbol for Subset (left) of Set (right) , Set C:   C = {dog, horse, bird,       rabbit, cat }

Set F:    F = { cat, rabbit }

. . . Both Set "F" and Set "C" contain the following elements: rabbit, cat

. . . Set F is a "Subset" of Set C

F Math - Symbol for Subset (left) of Set (right) C

Note: the elements within a SET/SUBSET can be listed in any order.