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What is the sum of all integer values of x such that 3/x is greater than 1/3 and less than 3/4?

 Jan 29, 2019
 #1
avatar+102372 
+2

1/3 < 3/x < 3/4  

 

We have that

 

1/3 < 3/x            and      3/x < 3/4

 

             cross - multiply

 

x < 9           and                12 < 3x           divide both sides by 3

 

                                           4  < x

 

So....the integer solutions are 5, 6, 7, 8    

 

And their sum is   26  !!!!

 

 

cool cool cool

 Jan 29, 2019
edited by CPhill  Jan 29, 2019
 #2
avatar+404 
+2

Sorry for the inconvenience, but your answer, 30, is incorrect.

I looked through your great explanation to see if I can figure out what you did wrong, but I came out empty-handed. I you please try again, I would be very thankful. 

Again sorry.

 Jan 29, 2019
 #3
avatar+102372 
0

Oops...I shouldn't have included 4   !!!!

 

 

See my edited answer

 

 

cool cool cool

CPhill  Jan 29, 2019
 #4
avatar+404 
+2

Oh right... Thank You

 Jan 29, 2019
 #5
avatar+102372 
0

OK....thanks for catching my error....!!!!

 

 

cool cool cool

CPhill  Jan 29, 2019

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