which sets can be represented using the venn diagram below?\na = {states in the us}; b = {world…

which sets can be represented using the venn diagram below?\na = {states in the us}; b = {world countries}\na = {plays by shakespeare}; b = {playwrights}\na = {animals}; b = {mammals}\na = {polygons}; b = {circles}

which sets can be represented using the venn diagram below?\na = {states in the us}; b = {world countries}\na = {plays by shakespeare}; b = {playwrights}\na = {animals}; b = {mammals}\na = {polygons}; b = {circles}

Answer

Explanation:

Step1: Analyze Venn - diagram relationship

The Venn - diagram shows that set B is a subset of set A, i.e., all elements of B are in A, but A has some elements that are not in B.

Step2: Check each option

  • Option 1: States in the US are not countries, and world countries is not a subset of states in the US.
  • Option 2: Playwrights are not a subset of plays by Shakespeare.
  • Option 3: All mammals are animals, and there are animals that are not mammals. So B (mammals) is a subset of A (animals).
  • Option 4: Circles are not polygons, and polygons do not contain circles as a subset.

Answer:

C. A = {animals}; B = {mammals}