Which Venn diagram represents the set relationship A ⊂ B?

Circles A and B are diagonal to each other. They do not overlap.

Circles A and B overlap.

Circle B is inside of circle A.
Circle A is inside of circle B.

1 answer

The correct Venn diagram that represents the set relationship \( A \subset B \) (which means that set A is a subset of set B) is the scenario where circle A is entirely inside of circle B. This shows that all elements of set A are also elements of set B, but not all elements of set B are in set A.

So, to summarize:

  • Circle B is inside of circle A: This represents \( B \subset A \) (not correct).
  • Circle A is inside of circle B: This represents \( A \subset B \) (correct).
  • Circles A and B overlap: This does not represent a subset relationship correctly.
  • Circles A and B do not overlap: This means they have no elements in common, which does not represent any subset relationship.

Therefore, the correct representation for \( A \subset B \) is circle A inside of circle B.