SOLUTION: Solve for | w-1 | less than or equal to 9?

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Question 635563: Solve for | w-1 | less than or equal to 9?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

abs%28w-1%29%3C=9 Start with the given inequality


Break up the absolute value (remember, if you have abs%28x%29%3C=+a, then x+%3E=+-a and x+%3C=+a)

w-1+%3E=+-9 and w-1+%3C=+9 Break up the absolute value inequality using the given rule


-9+%3C=+w-1+%3C=+9 Combine the two inequalities to get a compound inequality



-8+%3C=+w+%3C=+10 Add 1 to all sides


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Answer:

So the answer is

-8+%3C=+w+%3C=+10