Question

ebra i b-cr
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 ∪ manual
○ motor ∩ manual
○ motor ∪ bicycle
○ motor ∩ bicycle

Explanation:

Step1: Analyze each set combination

First, examine the Venn diagram to check overlaps:

1. $\text{motor} \cup \text{manual}$: This includes all children in motor, manual, or both. The values are 8, 24, 32, so this is not empty.
2. $\text{motor} \cap \text{manual}$: This is the overlap of motor and manual, which has a value of 24, so this is not empty.
3. $\text{motor} \cap \text{bicycle}$: Looking at the Venn diagram, there is no overlapping region between the "Motor" circle and "Bicycle" circle (no shared value), so this set contains no elements.

Answer:

motor ∩ bicycle