which sets can be represented using the venn diagram below?\no a = {states in the us}; b = {world…

which sets can be represented using the venn diagram below?\no a = {states in the us}; b = {world countries}\no a = {plays by shakespeare}; b = {playwrights}\no a = {animals}; b = {mammals}\no a = {polygons}; b = {circles}

which sets can be represented using the venn diagram below?\no a = {states in the us}; b = {world countries}\no a = {plays by shakespeare}; b = {playwrights}\no a = {animals}; b = {mammals}\no a = {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.

Step2: Check each option

  • Option 1: States in the US are not countries, so this is wrong.
  • Option 2: Playwrights are not plays, so this is wrong.
  • Option 3: All mammals are animals, so B (mammals) is a subset of A (animals), this is correct.
  • Option 4: Circles are not polygons, so this is wrong.

Answer:

A = {animals}; B = {mammals}