Question 933197:  solve, interpret geometrically, and graph. 
When applicable, write answers using both inequality notation 
and interval notation.
 
ǀy - 5ǀ > 3  
 Answer by lwsshak3(11628)      (Show Source): 
You can  put this solution on YOUR website! solve, interpret geometrically, and graph. 
When applicable, write answers using both inequality notation 
and interval notation. 
ǀy - 5ǀ > 3 
*** 
Given problem indicates (y-5) is more than 3 units from the origin. 
Problem is to solve for y: 
Case 1: 
y-5>3 
y>8 
.. 
Case 2 
-(y-5)>3 
y-5<-3 
y<2 
number line: 
<===2......8===> 
(-∞,2) U (8,∞) 
When y>8 or y<2, (y-5) is more than 3 units from the origin. 
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