Determine and sketch the set of pairs (x; y) in R R that satisfy: (a) |x|

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Determine and sketch the set of pairs (x; y) in R R that satisfy:
(a) |x| = |y|;
(b) |x| + |y| = 1;
(c) |xy| + 2,
(d) |x| - |y| = 2:

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Introduction to Real Analysis

ISBN: 978-0471433316

4th edition

Authors: Robert G. Bartle, Donald R. Sherbert

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Question Posted: Apr 07, 2016 10:53 AM

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Determine and sketch the set of pairs (x; y) in R R that satisfy: (a) |x|

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a x y x 2 y 2 x yx y 0 y x or y x Thus x y y x or y x b Consider four cases If x 0 y 0 we get ...View the full answer

Introduction to Real Analysis

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