Question 933197
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===>
(-&#8734;,2) U (8,&#8734;)
When y>8 or y<2, (y-5) is more than 3 units from the origin.