The domain of the following relation: r: {(-3, 4), (5, 0), (1, 5), (2, 8), (5, 10)} is
{-3, 1, 2, 5}, {4, 0, 5, 8, 10}, {-3, 5, 1, 2, 5}, No domain exists

Solution:

For an ordered pair (x,y) that a set contain:

x = domain, y = range

In relation, x can have 2 or more than 2 ranges.

So, domain = first element of ordered pair

Given, ordered pair is r: {(-3, 4), (5, 0), (1, 5), (2, 8), (5, 10)}

Domain = {-3, 5, 1, 2, 5}

Since the element 5 is occuring twice, domain = {-3, 1, 2, 5}

Therefore, the domain is {-3, 1, 2, 5}

The domain of the following relation: r: {(-3, 4), (5, 0), (1, 5), (2, 8), (5, 10)} is

Summary:

The domain of the relation: r: {(-3, 4), (5, 0), (1, 5), (2, 8), (5, 10)} is {-3, 1, 2, 5}.