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....!!!!