SOLUTION: solve and graph absolute value inequality. write solution in interval notation
/8x-1/-1>2
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Question 337765: solve and graph absolute value inequality. write solution in interval notation
/8x-1/-1>2
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given inequality
Add 1 to both sides.
Break up the absolute value (remember, if you have , then or )
or Break up the absolute value inequality using the given rule
Now lets focus on the first inequality
Start with the given inequality
Add 1 to both sides
Combine like terms on the right side
Divide both sides by 8 to isolate x
Reduce
Now lets focus on the second inequality
Start with the given inequality
Add 1 to both sides
Combine like terms on the right side
Divide both sides by 8 to isolate x
Reduce
----------------------------------------------------
Answer:
So our answer is
or
which looks like this in interval notation
\cup\left(\frac{1}{2},\infty\right))
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 tutoring website.
Jim
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