SOLUTION: I have a question on absolute vaule. the problems says: |22z-9|=1 and i need to find the set. how can i find it if i can't divide 10 into 22??

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Question 500447: I have a question on absolute vaule.
the problems says: |22z-9|=1
and i need to find the set.
how can i find it if i can't divide 10 into 22??

Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
You can divide 22 into 10 (not 10 into 22) and get 10%2F22 which reduces to 5%2F11.
Realize that not all problems come out with whole numbers. In fact,
real life problems seldom do.  In school when you get math problems that
come out whole numbers, they're just planned that way to make it easier
for you.  But you have to get some problems that come out with fraction or
decimal answers 


        |22z - 9| = 1

That breaks into two equations:

22z - 9 = 1   and  22z - 9 = -1
    22z = 10           22z = 8
      z = 10%2F22             z = 8%2F22
      z = 5%2F11             z = 4%2F11
  
There are two solutions and the solution set is { 4%2F11, 5%2F11 }
`
Edwin