SOLUTION: please solve this inequality and write the solutions as a compound inequality: |x-10|-9<-1
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Question 336211: please solve this inequality and write the solutions as a compound inequality: |x-10|-9<-1
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given inequality
Add 9 to both sides.
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 10 to all sides
----------------------------------------------------
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
If you need more help, email me at jim_thompson5910@hotmail.com
Also, feel free to check out my website.
Jim
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