Final answer:
The statement is false because displacement is a vector quantity accounting for both magnitude and direction; thus, Jacqueline's displacement is 50 meters to the west, not east.
Step-by-step explanation:
The statement is false. Displacement is defined as the straight-line distance in a specific direction from the initial position to the final position. In this scenario, Jacqueline walks 100 m to the west and then 50 m back to the east. Thus, the total displacement is 100 m - 50 m = 50 m to the west from the starting point, not east. Displacement considers both the magnitude and the direction of the journey. Since the west and east are opposite directions, walking back towards the east reduces the magnitude of the displacement to the west.