Question

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:

• For the first option: States in the US are part of a country (the US), not world countries. So this is incorrect.
• For the second option: Plays by Shakespeare are works, playwrights are people. They are different types of entities. So this is incorrect.
• For the third option: All mammals are animals. So set \( B\) (mammals) is a subset of set \( A\) (animals), which matches the Venn - diagram where one set is inside another.
• For the fourth option: Polygons are made of straight - line segments, circles are curved. They are distinct types of geometric figures. So this is incorrect.

Answer:

A = {animals}; B = {mammals}