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Select the correct answer.

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

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

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

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

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

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



Answer :

GinnyAnswer
To determine the domain of a set of ordered pairs, we need to identify all the unique first elements in each pair. The domain of a set of ordered pairs \((x, y)\) consists of the values of \(x\).

Let's examine each ordered pair given in the problem:
1. \((-1, 1)\) -> The first element is \(-1\).
2. \((0, -1)\) -> The first element is \(0\).
3. \((5, -11)\) -> The first element is \(5\).
4. \((10, -21)\) -> The first element is \(10\).

Therefore, the domain is the set of these first elements: \(\{-1, 0, 5, 10\}\).

Among the given options, the correct one is:

C. [tex]\(\{-1, 0, 5, 10\}\)[/tex].

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