Question

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 ∪ bicycle motor ∩ manual motor ∩ bicycle

Explanation:

Step1: Understand Set Operations

• Union ($\cup$): Elements in either set.
• Intersection ($\cap$): Elements in both sets.

Step2: Analyze Each Option

• motor $\cup$ manual: Includes motor (8,24), manual (32,24) → non - empty.
• motor $\cup$ bicycle: Includes motor (8,24), bicycle (44) → non - empty.
• motor $\cap$ manual: The intersection of motor and manual has 24 (from the Venn diagram) → non - empty.
• motor $\cap$ bicycle: The Venn diagram shows no overlap between motor and bicycle → empty set.

Answer:

motor $\cap$ bicycle