Geometric Interpretation of Absolute Value

SubArea: 
Project ID: 
7500020085
Question: 
Create matching triples including an inequality, its solution illustrated on the number line, and its solution expressed in set-builder notation.
Header 1: 
Inequality
Header 2: 
Illustration on the number line
Header 3: 
Set-builder notation
Text 11: 
$|x-2|<3$
Image 21: 
Text 31: 
$\{ x \in \mathbb{R}: -1 < x <5\}$
Text 12: 
$|x-2|>3$
Image 22: 
Text 32: 
$\{ x \in \mathbb{R}: x < -1 \vee x>5\}$
Text 13: 
$|x-2| \leq 3$
Image 23: 
Text 33: 
$\{ x \in \mathbb{R}: -1 \leq x \leq 5\}$
Text 14: 
$|x-2|\geq 3$
Image 24: 
Text 34: 
$\{ x \in \mathbb{R}: x \leq -1 \vee x \geq 5\}$
Text 15: 
$|x+3|<2$
Image 25: 
Text 35: 
$\{ x \in \mathbb{R}: -5 < x <-1\}$
Text 16: 
$|x+2|\geq3$
Image 26: 
Text 36: 
$\{ x \in \mathbb{R}: x \leq -5 \vee x \geq 1\}$
Workflow: 
translation