Question

algebra i b-cr
which sets can be represented using the venn diagram
below?
○ a = {states in the us}; b = {world countries}
○ a = {plays by shakespeare}; b = {playwrights}
○ a = {animals}; b = {mammals}
○ a = {polygons}; b = {circles}

Explanation:

Step1: Analyze Venn diagram logic

The diagram shows set \(B\) is entirely contained within set \(A\), meaning all elements of \(B\) are elements of \(A\) (\(B \subset A\)).

Step2: Evaluate each option

1. For \(A=\{\text{states in the US}\}\), \(B=\{\text{world countries}\}\): US states are not world countries, so \(B

ot\subset A\).

1. For \(A=\{\text{plays by Shakespeare}\}\), \(B=\{\text{playwrights}\}\): Plays are not playwrights, so \(B

ot\subset A\).

1. For \(A=\{\text{animals}\}\), \(B=\{\text{mammals}\}\): All mammals are animals, so \(B \subset A\), matching the diagram.
2. For \(A=\{\text{polygons}\}\), \(B=\{\text{circles}\}\): Circles are not polygons, so \(B

ot\subset A\).

Answer:

A = {animals}; B = {mammals}