## Math Symbols The Most Valuable and Important Symbols For Set Notation In Use: "Union of Sets"

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 the "Union of Sets" -

D 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: , 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 A = {a, b, c, d, e, f}

Example 2: , 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 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: , 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

C F = {dog, horse, bird, rabbit,               cat}

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