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Select the correct answer.

[tex]$
\begin{array}{c}
(-1,1) \\
(0,-1) \\
(5,-11) \\
(10,-21)
\end{array}
$[/tex]

What is the domain of the set of ordered pairs above?

A. [tex]$\{1,-1,0,5,10\}$[/tex]

B. [tex]$\{-1,10\}$[/tex]

C. [tex]$\{-1,1\}$[/tex]

D. [tex]$\{1,-1,-11,-21\}$[/tex]


Sagot :

To determine the domain of the set of ordered pairs provided, we need to identify all the distinct first elements from each ordered pair.

The set of ordered pairs given is:
[tex]\[ \{(-1, 1), (0, -1), (5, -11), (10, -21)\} \][/tex]

The domain of a set of ordered pairs is the set of all the first elements (also called the "x-coordinates") from each pair.

Let's extract these first elements:
- From the pair [tex]\((-1, 1)\)[/tex], the first element is [tex]\(-1\)[/tex].
- From the pair [tex]\((0, -1)\)[/tex], the first element is [tex]\(0\)[/tex].
- From the pair [tex]\((5, -11)\)[/tex], the first element is [tex]\(5\)[/tex].
- From the pair [tex]\((10, -21)\)[/tex], the first element is [tex]\(10\)[/tex].

Therefore, the domain consists of the elements:
[tex]\[ \{-1, 0, 5, 10\} \][/tex]

Now, let's compare this with the given answer choices:
A. [tex]\(1, -1, 0, 5, 10 \)[/tex]
B. \{ -1, 10 \}
C. \{ -1, 1 \}
D. \{ 1, -1, -11, -21 \}

Clearly, the correct domain is:
[tex]\[ \{-1, 0, 5, 10\} \][/tex]

It appears that the format of the given correct domain matches none of the provided choices exactly. Nonetheless, the closest and correct domain according to the problem is [tex]\(\{-1, 0, 5, 10\}\)[/tex].

Since the exact domain set [tex]\(\{-1, 0, 5, 10\}\)[/tex] was not explicitly listed as an option in the questions, we do need to interpret closest listing "A" based on common conventions in composite sets formatting quizzes:

A. [tex]\(1, -1, 0, 5, 10 \)[/tex]

Hence, the correct answer matches most closely with option A, considering a typographical anomaly listed differently in multiple choice.

Thus, you would select A. [tex]\(1, -1, 0, 5, 10 \)[/tex] indicating a likely typo. For purposed matching the value pairs
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