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The problem asks which of the given options describes two disjoint sets A and B represented as circles. Disjoint sets have no elements in common.

Discrete MathematicsSet TheoryDisjoint SetsVenn Diagrams
2025/3/27

1. Problem Description

The problem asks which of the given options describes two disjoint sets A and B represented as circles. Disjoint sets have no elements in common.

2. Solution Steps

The question states that sets A and B are disjoint. Disjoint sets mean that they have no intersection or overlap.
a. Two circles that do not overlap: This represents two disjoint sets because there are no common elements.
b. Two circles that partially overlap: This represents sets that are not disjoint as they have some common elements.
c. Two circles that completely overlap: This represents sets that are not disjoint as they share the same elements.
d. One circle inside another: This also represents that the sets are not disjoint since one set is a subset of the other.
e. Three circles that completely overlap: This doesn't directly relate to two sets A and B.
Therefore, the only option that represents two disjoint sets is option a.

3. Final Answer

a. Two circles that do not overlap

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