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Union of Sets - Geometry

by ally
(texas)










































Form the union for the following sets.
X = {0, 10, 100, 1000}
Y = {100, 1000}
X ∪ Y =

Comments for Union of Sets - Geometry

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Jun 08, 2012
Union of Sets
by: Staff


Question:

by Ally
(Texas)

Form the union for the following sets.

X = {0, 10, 100, 1000}
Y = {100, 1000}
X ∪ Y =


Answer:

The "Union" of Set "X" and Set "Y" produces a new set which contains all the elements of both sets: 0, 10, 100, 1000

X ∪ Y is NOT {0, 10, 100, 100, 1000, 1000}.

Each element in the set formed by the union of both sets is only listed once.


>>> X ∪ Y = {0, 10, 100, 1000}

The UNION of Sets X and Y is illustrated in the following VENN Diagram:


(1) If your browser is Firefox, click the following link to VIEW the VENN Diagram; or if your browser is Chrome, Internet Explorer, Opera, or Safari (2A) highlight and copy the link, then (2B) paste the link into your browser Address bar & press enter:

Use the Backspace key to return to this page

http://www.solving-math-problems.com/images/venn-diagram-union-of-sets-geometry-2012-06-08.png



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Here are some other possibilities you may be interested in:

The INTERSECTION of Sets X and Y contains only those elements which are listed in both X and Y:

>>> X ∩ Y = {100, 1000}

http://www.solving-math-problems.com/images/venn-diagram-intersection-of-sets-geometry-2012-06-08.png



The X COMPLEMENT (or NOT X) contains all the elements in the Universe which are outside X:

>>> ~X = {see shaded yellow area of Venn Diagram}

http://www.solving-math-problems.com/images/venn-diagram-x-complement-sets-geometry-2012-06-08.png



The X - Y (or X minus Y) contains all the elements in the X, except for the overlap of X and Y:

>>> X - Y = {0, 10}

http://www.solving-math-problems.com/images/venn-diagram-x-y-sets-geometry-2012-06-08.png







Thanks for writing.

Staff
www.solving-math-problems.com


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