Flipping the sign on $|X_1|\le3$ keeps the $N(0,1)$ marginal but makes the pair strongly negatively correlated

Let $X_1\sim N(0,1)$ and $X_2=\begin{cases}-X_1, & -3\le X_1\le3\ X_1, & \text{otherwise.}\end{cases}$ Then which of the following statements is correct?