Math Problem Statement
Express the relation below as a set of ordered pairs.
x
y
–
3
–
9
–
3
–
6
–
5
–
2
13
2
–
5
13
Fill in all the blanks.
(
–
5
,
13
)
,
,
,
,
–
9
Solution
To express the relation as a set of ordered pairs, we use the format , where each value of corresponds to a value of in the relation. Here’s how we can fill in the blanks:
The given relation is:
\hline x & y \\ \hline -3 & -9 \\ -3 & -6 \\ -5 & -2 \\ 13 & 2 \\ -5 & 13 \\ \hline \end{array}$$ From this, the set of ordered pairs is: $$\{ (-3, -9), (-3, -6), (-5, -2), (13, 2), (-5, 13) \}$$ The missing ordered pair in your question is: $$(-5, 13)$$ So, the full set of ordered pairs, including the filled-in part, is: $$\{ (-5, 13), (-3, -9), (-3, -6), (-5, -2), (13, 2) \}$$ Let me know if you'd like further explanation or if you have more questions! --- Here are 5 related questions you might find useful: 1. How do we determine if a relation is a function from its set of ordered pairs? 2. What is the difference between a function and a relation? 3. Can a set of ordered pairs contain repeated $$x$$-values in a function? 4. How do we graph a set of ordered pairs on a coordinate plane? 5. What does it mean if a relation is not a function? **Tip**: Always check if any $$x$$-value repeats in a set of ordered pairs. If it does, it could indicate the relation is not a function.Ask a new question for Free
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Math Problem Analysis
Mathematical Concepts
Relations
Ordered Pairs
Formulas
-
Theorems
-
Suitable Grade Level
Grades 7-9