Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00 Edition Edition
ISBN: 9780395977224
Author: Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher: McDougal Littell
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Set Theory
Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.
Question

Let p = {1, 2} and q = {1, 2, 3}.

List all the elements in the set (p × q) ∩ (q × p)

Expert Solution
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Step 1

p = {1, 2} and q = {1, 2, 3}.

So, p × q = {(1,1), (1,2), (1,3), (2,1), (2,2), (2,3)}

&, q × p = {(1,1), (1,2), (2,1), (2,2), (3,1), (3,2)}

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