Sure! Let's go through the details step by step and organize the given information properly.
### Step-by-Step Solution:
#### Step 1: Given Points
We start with the set of points that we've been provided:
[tex]\[
\{(0,0), (1,1), (1,2), (2,3), (2,4), (3,5)\}
\][/tex]
This represents a collection of 2D points plotted on a coordinate plane.
#### Step 2: Given Table Values
In addition to the points, we also have a table that lists out some other coordinate pairs:
[tex]\[
\begin{array}{|c|c|}
\hline
x & y \\
\hline
-1 & 4 \\
\hline
-2 & 3 \\
\hline
-3 & 2 \\
\hline
\end{array}
\][/tex]
Each row in this table represents a point, with [tex]\( x \)[/tex] being the x-coordinate and [tex]\( y \)[/tex] being the y-coordinate of the point.
#### Step 3: Organizing the Points
We now organize both sets of points into their respective groups:
- Points from the initial set:
[tex]\[
\{(0,0),(1,1),(1,2),(2,3),(2,4),(3,5)\}
\][/tex]
- Points from the table:
[tex]\[
\{(-1,4),(-2,3),(-3,2)\}
\][/tex]
#### Step 4: Presenting the Final Result
To present the result clearly, we simply write both sets of points as they are.
The points from the initial set are:
[tex]\[
\{(2,3),(2,4),(1,2),(0,0),(1,1),(3,5)\}
\][/tex]
The points from the table are:
[tex]\[
\{(-3,2),(-2,3),(-1,4)\}
\][/tex]
So, the final output is:
[tex]\[
(\{(2,3), (2,4), (1,2), (0,0), (1,1), (3,5)\}, \{(-3,2),(-2,3),(-1,4)\})
\][/tex]
These sets represent the given points and the table values respectively, correctly organized and presented.
