Explanation Given: The inequality is { x : | x − 4 | > 2 } . Formula used: In the absolute value equation, if | a x + b | > k , where k > 0 then a x + b > k or a x + b < − k . Calculation: The inequality is { x : | x − 4 | > 2 } . By the absolute value equation, if | a x + b | > k , where k > 0 then a x + b > k or a x + b < − k . | x − 4 | > 2 , 2 > 0 So, x − 4 > 2 and x − 4 < − 2

4th Edition

ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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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

Chapter 1.1, Problem 23E

To determine

Define the set in a union of finite or infinite intervals.

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Chapter 1.1, Problem 22E

Chapter 1.1, Problem 24E

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Write the set {x : x is a positive integer and x2< 40} in the roster form.

Chapter 1 Solutions

CALCULUS (CLOTH)

Ch. 1.1 - Prob. 1PQ Ch. 1.1 - Prob. 2PQ Ch. 1.1 - Prob. 3PQ Ch. 1.1 - Prob. 4PQ Ch. 1.1 - Prob. 5PQ Ch. 1.1 - Prob. 6PQ Ch. 1.1 - Prob. 7PQ Ch. 1.1 - Prob. 8PQ Ch. 1.1 - Prob. 9PQ Ch. 1.1 - Prob. 10PQ

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Define the set in a union of finite or infinite intervals.

Solution Summary: The author explains how to determine the inequality in a union of finite or infinite intervals with the help of property of absolute expression.

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Define the set in a union of finite or infinite intervals.

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Chapter 1 Solutions