the diagram shows the number of children who have ever used motorized scooters, manual scooters, and/or…
the diagram shows the number of children who have ever used motorized scooters, manual scooters, and/or bicycles. which combination represents the empty set? motor u manual motor u bicycle motor ∩ manual motor ∩ bicycle
Answer
Answer:
motor ∩ bicycle
Explanation:
Step1: Recall set - theory definitions
The empty set has no elements.
Step2: Analyze the Venn - diagram
In the Venn - diagram, there are no elements in the intersection of the "motor" and "bicycle" circles.
Step3: Evaluate each option
- For motor ∪ manual, it includes elements in motor and manual, so it's not empty.
- For motor ∪ bicycle, it includes elements in motor and bicycle, so it's not empty.
- For motor ∩ manual, there are 24 elements in the intersection.
- For motor ∩ bicycle, there are no elements in the intersection, so it represents the empty set.