“R is a robot of M” means that R can perform some of the tasks that M would…
2010
“R is a robot of M” means that R can perform some of the tasks that M would otherwise perform, and R cannot perform any task outside that range. Which representation most appropriately models this situation?
- D.
None of these
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Show answer & explanation
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
Let R be the set of tasks the robot can perform and M be the set of tasks M can perform.
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.
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.