n is an integer

only5 and 6

14 < 3n ≤ 21        divde through by 3

14/3 < n  ≤  7

The  next largest  integer  after  14/3   is 5

So.....the  integer solutions for n   are   5, 6 and 7

Nice explanation CPhill!

Translating this into words it means a number multiplied by three is greater than 14 and less than 21. 5 and 6 are the only possible solutions to this inequality...