Final answer:
The statement that if a graph contains a trail from x to y, then it contains a path from x to y is true, because a path is a trail without repeated vertices and can be obtained by removing loops from the trail.
Step-by-step explanation:
The statement is true. If graph G contains a trail from vertex x to vertex y, this means that we can traverse from x to y by following edges, where each edge is used only once. However, a trail can include revisiting vertices. A path, on the other hand, is a sequence of edges connecting two vertices without traversing any vertex more than once.
To transform a trail into a path, one simply needs to eliminate any loops or repeated visits to vertices within the trail. Hence, every trail from x to y contains at least one path from x to y. By following the trail and omitting any circular routes or repeated sections, you can form a path.