Suppose that the power series, $\sum c_n x^n$, converges when $x = −4$ and diverges when $x = 7$. Determine whether each statement is true, false or not possible to determine.
(a) The power series converges when $x = 10$.
(b) The power series converges when x = 3.
(c) The power series diverges when x = 1.
(d) The power series diverges when x = 6.
I found the radius of convergence to be at least $4$ and I know the series is convergent at $-4$ so for the minimum interval of convergence it could be either $[-4, 4]$ or $[-4, 4)$. I am not sure which one to choose based on the information given.