Assignment -1
Grade Class 12
Question:
<p>Given an arbitrary equivalence relation R in an arbitrary set X, R divides X into</p>
<p style="display:inline">mutually disjoint subsets</p>
<p style="display:inline">intersecting sets</p>
<p style="display:inline">two sets</p>
<p style="display:inline">three sets</p>
Step-by-Step Solution
Key Concept: An equivalence relation partitions its set into mutually disjoint equivalence classes whose union recovers the original set.
<p>An equivalence relation R gives a partitioning of the set A into mutually disjoint equivalence classes,i.e. union of equivalence classes is the set A itself.</p>
Correct Answer: A