SOLUTION: the absolute value of 1/2x - 1 < 1
Algebra.Com
Question 119825: the absolute value of 1/2x - 1 < 1
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given inequality
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 1 to all sides
Multiply 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
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