Crawford Franklin
08/02/2023 · High School
1. \( a=\{(4,5),(-4,5),(2,3),(-2,3)\} \) 2. \( b=\{(0,-1),(2,-3),(-5,1),(-4,5)\} \) 3. \( c=\{(1,4),(2,8),(3,12),(4,16) \), 4. \( d=\{(A, 5),(K, 9),(0,5),(2,9)\} \) \( x^{-1}= \) \( y^{\prime} \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
It seems like you have provided several sets of ordered pairs, but the context of your question is not entirely clear. Let's break down the components you've provided:
1. **Set \( a \)**:
\[
a = \{(4,5), (-4,5), (2,3), (-2,3)\}
\]
This set contains four ordered pairs.
2. **Set \( b \)**:
\[
b = \{(0,-1), (2,-3), (-5,1), (-4,5)\}
\]
This set also contains four ordered pairs.
3. **Set \( c \)**:
\[
c = \{(1,4), (2,8), (3,12), (4,16)\}
\]
This set contains ordered pairs that appear to represent a linear relationship (specifically, \( y = 4x \)).
4. **Set \( d \)**:
\[
d = \{(A, 5), (K, 9), (0, 5), (2, 9)\}
\]
This set contains ordered pairs with mixed types (letters and numbers).
5. **\( x^{-1} \)**: This notation typically represents the inverse of a function or a relation. If \( x \) is a set of ordered pairs, \( x^{-1} \) would be the set of pairs with their elements swapped. However, you haven't provided a specific set \( x \).
6. **\( y^{\prime} \)**: This notation could refer to the derivative of a function \( y \) with respect to \( x \), but again, you haven't provided a specific function or context.
If you could clarify what you would like to do with these sets or what specific operations or transformations you are interested in, I would be happy to assist you further!
Quick Answer
You've provided sets of ordered pairs and notations like \( x^{-1} \) and \( y^{\prime} \), but the context and specific operations are not clear.
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