How would I solve this problem:
How many integer values of n will the expression $4n+7$ be an integer greater than 1 and less than 200 a)48 b)49 c)50 d)51 e)52 ? Ans 50
I am trying to solve this by using inequalities and doing something like this
$200 > 4n + 7 > 1$
$193 > 4n > -6 $
$\frac{193}{4} > n > \frac{-6}{4}$
However this just gives me the range. How do i get the number of integers 50 ?