Data Sufficiency

We are to check if $$n>4$$
Investment = 5000 dollars
when n=1, interest per annum = 5% of 5000
$$=\frac{5}{100}\cdot5000$$
$$=250$$

Statement 1
At the end of the year, Moe's investment + interest is greater 5500 dollars.
$$investment\ +\ interest>5,500\ dollars$$
$$Interest>\left(5,500-5000\right)dollars\ $$
$$Interest\ >500\ dollars$$
$$when\ interest\ >500dollars,\ n>\frac{500dollars}{250dollars}=2$$
n>2yrs, Thus n can be either 3,4,5,6.............if n=3; n<4 but if n=5; n>4
Information given is not enough to arrive at a definite answer hence;
statement 1 is not SUFFICIENT.

Statement 2
At the end of n-years, Moe's investment + interest is lesser than 6,500 dollars
$$investment\ +\ interest\ <6,500dollars\ $$
$$interest<\left(6500-5000\right)dollars$$
$$interest<1500\ dollars$$
$$n<\frac{1500dollars}{250dollars}<6$$
$$n<6yrs,\ thus\ n\ can\ be\ either\ 5,4,3,2,1$$ $$if\ n=5;\ n>4\ but\ if\ n=3;\ n<4$$
Information given is not enough to arrive at a definite answer, hence statement 2 is not SUFFICIENT .

Both statement 1 and statement 2 combined together
Statement 1 ; n>2
Statement 2 ; n<6
thus $$2<n<6$$ $$n\ c\ \ can\ either\ be\ 3,\ 4\ \ or\ 5$$
If n=3 ; n<4 but if n=5 ; n>4
The two statements combined together were not enough to decide if n>4 or n<4
$$answer\ is\ option\ E$$