Explanation Definition Used: Absolute Value: | x | = { − x x < 0 x x ≥ 0 Let a and b be two real numbers such that | a | < b and b > 0 . Now, there are two possible cases: Case 1 : a ≥ 0 Then by the definition of absolute value | a | = a ….. (1) Also, it is given that | a | < b …

7th Edition

ISBN: 9781524916817

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Question

Chapter 1.2, Problem 57PS

To determine

To prove that:if |a|<b and b>0 then −b<a<b .

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Chapter 1.2, Problem 56PS

Chapter 1.2, Problem 58PS

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Chapter 1 Solutions

Calculus

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