Of course! Let's analyze the given numerical solution step by step. The result you have provided is a structured array (or grid) with some elements filled and others left as 'None'. Here is how it is structured:
```
[[4, 8, 11, 12],
[1.88, None, None, None, None],
[2.444, None, None, None, None],
['3.8 .400', None, None, None, None],
['4.17 .530', None, None, None, None],
['5.25,472', None, None, None, None]]
```
### Step-by-Step Analysis
1. First Row:
- This row is fully filled with numbers.
[tex]\[
\begin{array}{|c|c|c|c|}
\hline
4 & 8 & 11 & 12 \\
\hline
\end{array}
\][/tex]
2. Second Row:
- The first cell has the number [tex]\( 1.88 \)[/tex].
- The remaining cells are empty.
[tex]\[
\begin{array}{|c|c|c|c|c|}
\hline
1.88 & & & & \\
\hline
\end{array}
\][/tex]
3. Third Row:
- The first cell has the number [tex]\( 2.444 \)[/tex].
- The remaining cells are empty.
[tex]\[
\begin{array}{|c|c|c|c|c|}
\hline
2.444 & & & & \\
\hline
\end{array}
\][/tex]
4. Fourth Row:
- The first cell contains the string representation '3.8 .400'.
- The remaining cells are empty.
[tex]\[
\begin{array}{|c|c|c|c|c|}
\hline
3.8 .400 & & & & \\
\hline
\end{array}
\][/tex]
5. Fifth Row:
- The first cell contains the string representation '4.17 .530'.
- The remaining cells are empty.
[tex]\[
\begin{array}{|c|c|c|c|c|}
\hline
4.17 .530 & & & & \\
\hline
\end{array}
\][/tex]
6. Sixth Row:
- The first cell contains the string representation '5.25,472'.
- The remaining cells are empty.
[tex]\[
\begin{array}{|c|c|c|c|c|}
\hline
5.25,472 & & & & \\
\hline
\end{array}
\][/tex]
### Final Result Grid
By putting all the rows together, we get the following grid:
[tex]\[
\begin{array}{|l|l|l|l|l|}
\hline
& 4 & 8 & 11 & 12 \\
\hline
1.88 & & & & \\
2.444 & & & & \\
3.8 .400 & & & & \\
4.17 .530 & & & & \\
\hline
5.25,472 & & & & \\
\hline
\end{array}
\][/tex]
This table represents the solution as derived, and it neatly organizes our values within the constraints given.
