Word Problems with Absolute Value Inequalities

Suppose a particular comet has a projected path that passes through the center of Earth. Due to the Earth's gravitational pull, if the comet passes within 20,000 miles of Earth's center, it will be pulled into the atmosphere. $\\$ If $d$ represents the distance from the center of Earth at the time the comet passes by, for which values of $d$ will the comet $\textbf{not}$ be pulled into Earth?