we have (x, y) with 0
\(\frac{1}{1-\frac{10}{x}}>1-\frac{5}{y}\)
how many pairs of integers (x, y) satisfy the inequality?
with casework i got 12 but it is wrong.
how do i solve?
doing some simplifing, we get
y> (-x+10)/2
without defining any limits to x or y
the answer is infinite because lets say x= anything over 10
then any y >0 would be positive and greater than our negative on the other side
