Question

1. what is the domain of the relation {(2, 6), (2, 10), (8, 6), (5, 1), (4, 6), (3, 9)}?

a. {2, 8, 5, 4, 3}
b. {6, 10, 1, 9}
c. {2, 2, 8, 5, 4, 3}
d. {6, 10, 6, 1, 6, 9}

Explanation:

Step1: Recall domain definition

The domain of a relation (set of ordered pairs) is the set of all first elements (x - values) of the ordered pairs. Duplicate values are not repeated in a set.

Step2: Identify first elements

From the ordered pairs \((2, 6)\), \((2, 10)\), \((8, 6)\), \((5, 1)\), \((4, 6)\), \((3, 9)\), the first elements are \(2\), \(2\), \(8\), \(5\), \(4\), \(3\).

Step3: Form the domain set

Remove duplicates. So the domain is \(\{2, 8, 5, 4, 3\}\) (since we don't repeat \(2\) in the set).

Answer:

A. \(\{2, 8, 5, 4, 3\}\)