2 circles labeled Set A and Set B overlap. Set A contains 1, set B contains 3, and the overlap of the 2 circles contains 2. The number 4 is outside of the circles.

Question

On the Venn diagram, which region(s) represent the intersection of Set A and Set B (A∩B)?

II
I and III
I, II, and III
I, II, III, and IV

Answer 1

In a Venn diagram, the intersection of two sets A and B (denoted as A ∩ B) represents the elements that are common to both sets.

Based on your description:

• Set A contains 1 (which is outside the overlap)
• Set B contains 3 (which is also outside the overlap)
• The overlap (intersection) contains 2, which is common to both sets.

In terms of regions in the Venn diagram:

• Region I represents elements that are only in Set A.
• Region II represents elements that are in both Set A and Set B (the intersection A ∩ B).
• Region III represents elements that are only in Set B.
• Region IV represents elements that are outside both sets.

Since the intersection A ∩ B includes only the overlapping region (containing element 2), the answer is:

II