Question

2025 - 26 bcps geometry: concepts and connections
probability and statistics
which sets can be represented using the venn diagram?
a is the set of all animals. b is the set of all
mammals.
a is the set of all states in the us. b is the set of
all world countries.
a is the set of all polygons. b is the set of all
circles.
a is the set of all plays by shakespeare. b is the
set of all playwrights.

Explanation:

Step1: Analyze the Venn diagram relationship

The Venn diagram shows that set \( B \) is completely inside set \( A \), meaning every element of \( B \) is also an element of \( A \).

Step2: Check each option

• Option 1: All mammals (\( B \)) are animals (\( A \)), so \( B\subseteq A \).
• Option 2: States in the US (\( A \)) are not countries (\( B \)), and countries are not a subset of US states.
• Option 3: Circles (\( B \)) are not polygons (\( A \)), so \( B

subseteq A \).

• Option 4: Plays by Shakespeare (\( A \)) are not all playwrights (\( B \)), and playwrights are not a subset of Shakespeare's plays.

Answer:

A. A is the set of all animals. B is the set of all mammals.