Which compound inequality has a solution set represented on the number line by two separate rays, with open circles at \(-2\) and \(3\) and no shading between them?

Correct answer: \(x<-2\ \lor\ x>3\)

An open circle means that \(-2\) and \(3\) are not included in the solution set. The left ray represents \(x<-2\), while the right ray represents \(x>3\). Since either of these separate regions may be chosen, the connector is \(\lor\). Option C would have closed endpoints because it uses \(\le\) and \(\ge\). Exam tip: separate shaded regions usually indicate \(\lor\), whereas one continuous middle region usually indicates \(\land\).