To determine the correct relation expressed as a set of ordered pairs, we need to analyze the given choices and check which set represents a possible relation. Here are the provided options:
a. [tex]\(\{(4, -2), (0, 0), (2, 4)\}\)[/tex]
b. [tex]\(\{(-2, 4), (0, 0), (4, 2)\}\)[/tex]
c. [tex]\(\{(-2, 4), (0, 0), (2, 4)\}\)[/tex]
d. [tex]\(\{(4, -2), (0, 0), (4, 2)\}\)[/tex]
After examining each of the given options, we notice that:
- Option a lists the pairs [tex]\((4, -2)\)[/tex], [tex]\((0, 0)\)[/tex], and [tex]\((2, 4)\)[/tex].
- Option b lists the pairs [tex]\((-2, 4)\)[/tex], [tex]\((0, 0)\)[/tex], and [tex]\((4, 2)\)[/tex].
- Option c lists the pairs [tex]\((-2, 4)\)[/tex], [tex]\((0, 0)\)[/tex], and [tex]\((2, 4)\)[/tex].
- Option d lists the pairs [tex]\((4, -2)\)[/tex], [tex]\((0, 0)\)[/tex], and [tex]\((4, 2)\)[/tex].
Considering each option carefully, the best representation of the ordered pairs that fit the patterns given in the question is:
Option b: [tex]\(\{(-2, 4), (0, 0), (4, 2)\}\)[/tex]
Thus, the answer is B.
