If \((x^{2}-4x+10)<7\), which of the following must be true?
A. \(x>3\)
B. \(1>x>3\)
C. \(1
D. \(x>1\)
E. none of these
Explanation: \(x^{2}-4x+3<0 \Rightarrow (x-3)(x-1)<0 \therefore 1