SOLUTION: The fraction 46/x+5 has a value between 3 and 4. What are the possible whole numbers of w? I have tried putting it in an equation, but then I get stuck: 3<46/w+5 <4 3

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The fraction 46/x+5 has a value between 3 and 4. What are the possible whole numbers of w? I have tried putting it in an equation, but then I get stuck: 3<46/w+5 <4 3      Log On


   

Question 1111129: The fraction 46/x+5 has a value between 3 and 4. What are the possible whole numbers of w?


I have tried putting it in an equation, but then I get stuck:
3<46/w+5 <4
3w+15<46<4w+20
=??
Please help.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The fraction 46/x+5 has a value between 3 and 4. What are the possible whole numbers of w?


I have tried putting it in an equation, but then I get stuck:
3<46/w+5 <4
3w+15<46<4w+20
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You have 2 cases.
3w+15 < 46
3w < 31
w < 10 ---- The largest integer
============================
46 < 4w+20
26 < 4w
7 < w
7 < w < 10 --> 7, 8, 9 & 10
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