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Q 7.

Expert-verified

Calculus

Found in: Page 107

Book edition 1st

Author(s) Peter Kohn, Laura Taalman

Pages 1155 pages

ISBN 9781429241861

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Short Answer

Write each of the inequalities in interval notation:
$0 < | x - 2 | < 0.1$

Answer is $(1.9, 2) \cup (2, 2.1)$

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information

An inequality is $0 < | x - 2 | < 0.1$

Step 2. Explanation

$0 < | x - 2 | < 0.1$

$0 < | x - 2 |$ and $| x - 2 | < 0.1$

( $x < 2$ or $x > 2$ ) and $1.9 < x < 2.1$

$1.9 < x < 2$ or width="74" style="max-width: none; vertical-align: -4px;" $2 < x < 2.1$

So, interval notation is $(1.9, 2) \cup (2, 2.1)$

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