Geometric Interpretation of Absolute Value II

Submitted by michaela.bailova on Tue, 05/21/2024 - 15:03
SubArea: 
Absolute value
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∈R:−1<x<5}
Text 12: 
|x−2|>3
Image 22: 
Text 32: 
{x∈R:x<−1∨x>5}
Text 13: 
|x−2|≤3
Image 23: 
Text 33: 
{x∈R:−1≤x≤5}
Text 14: 
|x−2|≥3
Image 24: 
Text 34: 
{x∈R:x≤−1∨x≥5}
Text 15: 
|x+3|<2
Image 25: 
Text 35: 
{x∈R:−5<x<−1}
Text 16: 
|x+2|≥3
Image 26: 
Text 36: 
{x∈R:x≤−5∨x≥1}
Workflow: 
publish