Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 3 - Solving Inequalities - 3-8 Unions and Intersections of Sets - Practice and Problem-Solving Exercises: 41

Answer

$A\times B=\{(\pi,2),(\pi,4),(2\pi,2),(2\pi,4),(3\pi,2),(3\pi,4),(4\pi,2),(4\pi,4)\}$

Work Step by Step

$A\times B$ is a set of ordered pairs, where each element of A is mapped to each element of B. The element from A appears as the first element in the ordered pair. $\ \ \pi\rightarrow\ \ |\overset\rightarrow\ 2$ $\ \ \ \ \,\ \ \ \ \ \ \ \ |\overset\rightarrow\ 4$ $2\pi\rightarrow\ \ |\overset\rightarrow\ 2$ $\ \ \,\ \ \ \ \ \ \ \ \ \ |\overset\rightarrow\ 4$ $3\pi\rightarrow\ \ |\overset\rightarrow\ 2$ $\ \ \,\ \ \ \ \ \ \ \ \ \ |\overset\rightarrow\ 4$ $4\pi\rightarrow\ \ |\overset\rightarrow\ 2$ $\ \ \,\ \ \ \ \ \ \ \ \ \ |\overset\rightarrow\ 4$
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