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Q 7.

Expert-verifiedFound in: Page 107

Book edition
1st

Author(s)
Peter Kohn, Laura Taalman

Pages
1155 pages

ISBN
9781429241861

Write each of the inequalities in interval notation:

$0<|x-2|<0.1$

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

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

$0<|x-2|<0.1$

$0<|x-2|$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 $\left(1.9,2\right)\cup \left(2,2.1\right)$

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