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For how many integers x do we have $\frac14 < \frac{x}{5} < \frac23$?

 Jul 27, 2022
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Answer: \(2\)

Solution:

First of all, I assume that this is the question that you are asking. \(\frac14<\frac{x}{5}<\frac23\)

 

The first step would be to multiply the middle fraction by five to isolate the variable:

 

\(\frac54

 

Now all that needs to be done is to count every integer in between 5/4 and 10/3, which is literally just 2 and 3. This makes the desired answer \(2\) integers.

 Jul 27, 2022
edited by WhyamIdoingthis  Jul 27, 2022

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