Step 1: \( SO_3\) has no lone pairs on the central atom. \(SnCl_2\) has two lone pairs,\( CIF_3\) has one lone pair, and \(XeF_2\) has three lone pairs.
Step 2: Therefore, the correct increasing order of lone pairs is \( SO_3\)<(SnCl_2\) <\( CIF_3\)<(XeF_2\).