Identify the solubility rules for common ionic compounds in water. For example, most sulfates (SO4^2-) are soluble, except for those of barium, lead, and calcium.
Apply the solubility rules to each compound in the given pairs. For instance, PbSO4 is insoluble because lead sulfate is an exception to the general solubility of sulfates.
Consider the solubility of phosphates (PO4^3-). Most phosphates are insoluble except for those of alkali metals and ammonium. Therefore, Pb3(PO4)2 is insoluble.
Evaluate the solubility of sulfides (S^2-). Most sulfides are insoluble except for those of alkali metals and alkaline earth metals. Na2S is soluble, but CuS is insoluble.
Check the solubility of nitrates (NO3^-). Nitrates are generally soluble, so both AgNO3 and KNO3 are soluble in water.