Question

6/15
which relation has a domain of {3, 5, 8} ?
{(3, 5), (5, 8), (1, 2)}
{(8, 8), (5, 3), (5, 8)}
{(5, 1), (3, 4), (8, 2)}

Explanation:

Step1: Define domain of a relation

The domain of a relation (set of ordered pairs) is the set of all first elements of the ordered pairs.

Step2: Check Option 1 domain

For $\{(3, 5), (5, 8), (1, 2)\}$, domain is $\{3,5,1\}$.

Step3: Check Option 2 domain

For $\{(8, 8), (5, 3), (5, 8)\}$, domain is $\{8,5\}$.

Step4: Check Option 3 domain

For $\{(5, 1), (3, 4), (8, 2)\}$, domain is $\{5,3,8\}$ (order in sets does not matter, so this matches $\{3,5,8\}$).

Answer:

C. $\{(5, 1), (3, 4), (8, 2)\}$