Consider the dissociation equilibrium of in water:
.
By the Le Chatelier's Principle, increasing the concentration of either product will shift the equilibrium to the left. Some that was initially dissolved will precipitate out of the solution. This effect is called the common-ion effect.
For this solution, the products of dissociation are
ions, and
ions.
Adding either to the solution will trigger the common-ion effect and reduce the solubility of .
In the two choices,
Sodium chloride will add and ions to the solution.
Sodium fluoride will add and ions to the solution.
contains ions. It is capable of triggering the common-ion effect. However contains neither ions nor ions. It will not trigger the common-ion effect.