Q 7. - Calculus

Question

Write each of the inequalities in interval notation:

$0<|x-2|<0.1$

Step-by-Step Solution

Answer

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

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