Question

How many positive integers are there in the solution set of x/x-2 >5 ?

Answer 1

solve it for x:
x/(x-2) >5 multiply both sides by (x-2)
x>5*(x-2)
x>5x -10 combine all x on one side (right) and numbers on other
10>4x or 4x<10
x<10/4 or x<5/2 (2.5)
so, only positive integers are: x=1 and x=2 that < then 2.5