SOLUTION: Hi can someone help me solve this please? -5<4x-4<-3 the solution is {x/?<x<?} any help will be appreciated thanks

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Question 250095: Hi can someone help me solve this please?
-5<4x-4<-3
the solution is {x/? any help will be appreciated thanks

Found 2 solutions by checkley77, Edwin McCravy:
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
-5<4x-4<-3
-5+4<4x<-3+4
-1<4x<1
-1/4

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
Hi can someone help me solve this please?
-5<4x-4<-3
the solution is {x/? any help will be appreciated thanks

-5 < 4x - 4 < -3

Add +4 to all three sides:

-5 < 4x - 4 < -3
+4      + 4   +4
----------------
-1 < 4x     <  1

Next divide all three sides by the coefficient of x,
which is 4,

%28-1%29%2F4+%3C+%284x%29%2F4+++++%3C++1%2F4

or, canceling 4's,

%28-1%29%2F4+%3C+%28cross%284%29x%29%2Fcross%284%29+++++%3C++1%2F4

or

%28-1%29%2F4+%3C+x+++++%3C++1%2F4

That's called the solution.

The solution set is

%22%7Bx%7C%22-1%2F4%3Cx%3C1%2F4%22%7D%22

Edwin