Geometric Interpretation of Absolute Value II

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: 
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