SOLUTION: solve, interpret geometrically, and graph. When applicable, write answers using both inequality notation and interval notation. ǀy - 5ǀ > 3

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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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