D (see attached graph)
Work Step by Step
Graph a blank number line and label the intervals accordingly. In $x\lt-1$, $-1$ is not a solution, so when graphing the inequality, there needs to be an open circle at the point $-1$. The numbers less than $-1$ are to the left of $-1$ on the number line, and the numbers greater than $-1$ are to the right of $-1$ on the number line. Because the inequality states that $x$ is less than $-1$, we shade to the left of our point of $-1$. The graph we are left with matches answer choice D.