Cynthia used some of the ordered pairs from the set below to make a new set.
{(4, –3), (–2, 5), (5, 4), (7, 2), (2, –7)}
She wrote the domain of this set as {2, 4, 5}. Which ordered pairs from the original set did Cynthia use to make her new set?
a)(–2, 5), (7, 2), (5, 4)
b)(5, 4), (2, –7), (4, –3)
c)(2, –7), (4, –3), (–2, 5), (5, 4)
d)(4, –3), (–2, 5), (5, 4), (7, 2)
x has to be 2, 4 or 5
first b or c
then b or c again
then b
because (-2,5) is not allowed
To determine which ordered pairs Cynthia used to make her new set, you need to compare the domain of her new set, {2, 4, 5}, to the x-coordinates (or the first elements) of the original set of ordered pairs.
Let's examine each option:
a) (–2, 5), (7, 2), (5, 4)
The x-coordinates are -2, 7, and 5. These values do not match the domain {2, 4, 5}.
b) (5, 4), (2, –7), (4, –3)
The x-coordinates are 5, 2, and 4. These values match the domain {2, 4, 5}.
c) (2, –7), (4, –3), (–2, 5), (5, 4)
The x-coordinates are 2, 4, -2, and 5. These values match the domain {2, 4, 5}.
d) (4, –3), (–2, 5), (5, 4), (7, 2)
The x-coordinates are 4, -2, 5, and 7. These values exceed the domain {2, 4, 5}.
Therefore, the correct answer is option c) (2, –7), (4, –3), (–2, 5), (5, 4). Cynthia used these ordered pairs from the original set to make her new set.