Question 753715: What is the number line graph of |6-(2x-3)|>9
Found 2 solutions by CubeyThePenguin, ikleyn:
Answer by CubeyThePenguin(3113)   (Show Source):
Answer by ikleyn(52803)  (Show Source):
You can put this solution on YOUR website! .
What is the number line graph of |6-(2x-3)|>9
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The given inequality
|6 - (2x-3)| > 9
is the same as
|-2x + 9| > 9
and is equivalent to
|x - 4.5| > 4.5.
It describes the points x on number line that are remoted MORE THAN 4.5 units from the point 4.5.
The solution set (these points) are
x < 0 or x > 9, ANSWER
or, in the interval notation, the solution set is the union
(-oo,0) U (9,oo). ANSWER
Solved.
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On solving absolute value inequalities, see my lesson
- Solving absolute value inequalities
in this site.
Consider this lesson as your textbook, handbook, tutorials and (free of charge) home teacher.
Read it attentively and learn how to solve this type of problems once and for all.
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Ignore the solution / (the response) from @CubeyThePenguin, since it is TOTALLY WRONG.
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