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

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 !!!!

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.

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

See my edited answer

Oh right... Thank You

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