## Math Symbols The Most Valuable and Important Symbols For Set Notation In Use: "Subset (right) to Set (left)"

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.

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Symbols for Set Notation - click description

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

A D 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 is NOT equivalent to and is NOT interchangeable with (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 only represents a proper subset.

The subset symbol represents any subset.

Example 1: , 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

A D

Example 2: , 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

B E

Note: When the symbol is used, both the SET and SUBSET can be equal to one another.

Example 3: , 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

C F

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