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Q 9.

Expert-verified

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:
$|(x^{2} - 1) + 3| < 0.5$

No solution

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information

An inequality is $|(x^{2} - 1) + 3| < 0.5$

Step 2. Explanation

$\begin{array}{rcl} |(x^{2} - 1) + 3| & < & 0.5 \\ - 0.5 & < & x^{2} - 1 + 3 < 0.5 \end{array}$

Here,

$x^{2} - 1 + 3 > 0.5$ is true for all width="10" style="max-width: none; vertical-align: -4px;" $x$ and $x^{2} - 1 + 3 < 0.5$ is not true for any value of $x$

So, the given inequality has no solution.

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