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Start with the given inequality
Add 5 to both sides.
Divide both sides by 3
Break up the absolute value (remember, if you have
, then
and
)
and
Break up the absolute value inequality using the given rule
Combine the two inequalities to get a compound inequality
Add 4 to all sides
Divide all sides by 2 to isolate x
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Answer:
So our answer is
which looks like this in interval notation
)
if you wanted to graph the solution set, you would get
Graph of the solution set in blue and the excluded values represented by open circles
(