Given a set S = {1, 2, 3, 4, 5}, find the equivalence relation on S which generated by the partition{{1, 2}, {3}, {4, 5}}. Draw the graph of the relation.

The equivalence relation generated by the partition {{1, 2}, {3}, {4, 5}} on the set S = {1, 2, 3, 4, 5} can be represented by the relation R.

Step 1: Identify the elements in each partition. The first partition is {1, 2}, the second partition is {3}, and the third partition is {4, 5}.

Step 2: For each partition, create pairs of elements that relate to each other. For the first partition {1, 2}, we have the pairs (1, 1), (1, 2), (2, 1), and (2, 2). For the second partition {3}, we have the pair (3, 3). For the third partition {4, 5}, we have the pairs (4, 4), (4, 5), (5, 4), and (5, 5).

Step 3: Combine all pairs to form the equivalence relation R. So, R = {(1, 1), (1, 2), (2, 1),