Question

the following venn diagram shows the number of students in classes a, b, and c. using this venn diagram, fill in each of the following blanks to state how many students are in each of the following unions and intersections. a ∪ b (union): a ∪ b ∪ c (union): a ∩ b (intersection): a ∩ b ∩ c (intersection): geometry - unit 1b summative - logic & venn diagrams (sy 2025 - 2026)

Explanation:

Step1: Calculate A ∪ B

Sum regions in A/B: 9+3+2+4+6+1=25

Step2: Calculate A ∩ B

Sum A∩B regions: 3+2=5

Step3: Calculate A ∪ B ∪ C

Sum all regions: 9+3+6+1+7+4+2=32

Step4: Calculate A ∩ B ∩ C

Center region value: 2

Answer:

A ∪ B (union): 25
A ∩ B (intersection): 5
A ∪ B ∪ C (union): 32
A ∩ B ∩ C (intersection): 2