## Math Symbols The Most Valuable and Important Symbols For Set Notation In Use: "NOT 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.

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Math Symbol for "NOT Subset (left) of Set (right)"

D A means Set "D" IS NOT a Subset of Set "A":

Example 1: , Set A:   A = { a , b , c , d}

Set D:   D = { x , z }

. . . Both Set "D" and Set "A" contain completely different elements.

. . . They have nothing in common.

. . . Set D is "NOT a Subset" of Set A

D A

Example 2: , Set B:   B = { 1 , 3 , 9 , 11}

Set E:    E = { 9 , 55 }

. . . Both Set "E" and Set "B" do contain one common element: 9.

. . . However, in order for Set "E" to be a subset of Set "B", all of the elements in Set "E" must also be present in Set "B".

. . . The number 55 is present in Set "E", but is missing in Set "B".

. . . Set E is "NOT a Subset" of Set B

E B

Example 3: , Set C:   C = {dog, cat, bird,       horse, rabbit }

Set F:    F = { hawk, fish }

. . . Both Set "F" and Set "C" contain completely different elements.

. . . They have nothing in common.

. . . Set F is "NOT a Subset" of Set C

F C