If y is a positive integer, for how many values of y is 3/2y greater than 1/4 and less than 1/2?

Question

F. 0
G.1
H.2
I. 3
J.4

Check this.
1/2>3/2y>1/4
Only 4 and 5 work. Thus, there are 2 values of y.

Answer 1

1/4 < (3/2)y < 1/2
multiply by 4

1 < 6y < 2

divide by 6

1/6 < y < 1/3

There is no integer value between 1/6 and 1/3
so the choice is F) which was 0

let me know if you meant to type 3/(2y) , which would change the question in a major way.