To rank the solutions in order of greatest to least solubility, we need to compare the amounts of solute that fully dissolved for each solution.
From the given chart:
- Solution [tex]\( X \)[/tex] dissolves 10 grams of solute.
- Solution [tex]\( Y \)[/tex] dissolves 12 grams of solute.
- Solution [tex]\( Z \)[/tex] dissolves 8 grams of solute.
To determine which solution has the greatest solubility, we compare the grams of solute dissolved:
1. Solution [tex]\( Y \)[/tex] dissolves the most amount of solute, with 12 grams.
2. Solution [tex]\( X \)[/tex] dissolves the next highest amount, with 10 grams.
3. Solution [tex]\( Z \)[/tex] dissolves the smallest amount of solute, with 8 grams.
Thus, when we rank these solutions from greatest to least solubility, we get:
[tex]\( Y \rightarrow X \rightarrow Z \)[/tex].
Therefore, the correct answer is:
[tex]\[ Y \rightarrow X \rightarrow Z \][/tex]