the venn diagram shows the number of customers who have purchased different types of pets from a pet store…
the venn diagram shows the number of customers who have purchased different types of pets from a pet store, where c represents customers who have purchased cats, d represents customers who have purchased dogs, and f represents customers who have purchased fish. how many people are in the set c ∩ d? 4 6 36 38
Answer
Explanation:
Step1: Recall set - intersection meaning
The symbol $\cap$ represents the intersection of two sets. The elements in $C\cap D$ are the elements that are in both set $C$ and set $D$.
Step2: Identify from Venn - diagram
In a Venn - diagram, the intersection of two sets $C$ and $D$ is the region where the circles representing $C$ and $D$ overlap. Looking at the given Venn - diagram, the numbers in the overlapping region of circles $C$ and $D$ are $3$ and $1$.
Step3: Calculate the number of elements in $C\cap D$
We sum the numbers in the overlapping region: $3 + 1=4$.
Answer:
4