“R is a robot of M” means that R can perform some of the tasks that M would…

Concept

A Venn diagram represents sets by regions. If every element of one set belongs to another set, the first set is a subset and is drawn wholly inside the second; partial overlap and separation represent different relations.

Application

1. Let R be the set of tasks the robot can perform and M be the set of tasks M can perform.

2. R cannot perform anything outside M's task range, so every task in R also belongs to M; therefore R is a subset of M, written R ⊆ M.

3. The word “some” indicates that R need not perform all of M's tasks, so the diagram should show R as the smaller set entirely within M.

Cross-check and contrast

• Overlapping circles allow tasks belonging only to R, which contradicts the stated restriction.

• Nested circles express complete containment of R within M.

• Separate circles express no shared tasks, which contradicts R performing some tasks of M.

• “None of these” is unnecessary because the nested-circle representation is available.

Therefore, the appropriate model is the diagram with the smaller circle completely inside the larger circle.