Q 8. - Calculus

Question

Write each of the inequalities in interval notation:

$0<|x+3|<0.05$

Step-by-Step Solution

Answer

Answer is $\left(-3.05,-3\right)\cup \left(-3,-2.95\right)$

Step 1. Given information

Inequality is $0<|x+3|<0.05$.

Step 2. Explanation

$0<|x+3|<0.05$

$0<|x+3|$and $|x+3|<0.05$

($x<-3$ or $x>-3$) and width="134" style="max-width: none; vertical-align: -4px;" $-3.05<x<-2.95$

$-3.05<x<-3$ or $-3<x<-2.95$

Interval notation is $\left(-3.05,-3\right)\cup \left(-3,-2.95\right)$