Statement $(I)$: The set of solutions of $|x|^2 - 4|x| + 3 < 0$ is the interval $(-3, 3)$.
Statement $(II)$: If $x < 3$ or $x > 5$, then $x^2 - 8x + 15 > 0$.
Which of the above statements is (are) true?

• A
  Statement $I$ is true, but Statement $II$ is false
• B
  Statement $II$ is true, but Statement $I$ is false
• C
  Both Statement $I$ and Statement $II$ are true
• D
  Both Statement $I$ and Statement $II$ are false