In a group of five friends, Amy is taller than Carla. Dan is shorter than Eric but taller than Bob. Eric is shorter than Carla. Who is the shortest?
Problem 260
Official solution
We use to represent Amy, Bob, Carla, Dan, and Eric, respectively. We use the greater than symbol to represent 'is taller than' and the less than symbol to represent 'is shorter than'. From the first bullet, . From the second bullet, and so . From the third bullet, or . Since and and , then , which means that Bob is the shortest.