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How many integer solutions exist for $x$ if $\frac12\le\frac x8\le\frac79$?

 May 13, 2018
 #1
avatar+988 
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\(\frac12\le\frac x8\le\frac79\)

 

We commonize the denominator:

 

\(\frac{36}{72}\le\frac{9x}{72}\le\frac{56}{72}\)

 

This works out when x=4, 5, and 6

 

I hope this helped,

 

Gavin

 

Please don't just type in the answer, read the solution and try to understand the problem. Try to do other problems like this on your own. Then you can actually improve. 

 May 13, 2018

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