To solve this problem, we need to understand the inductive effect (-I effect) of different substituents.$\\$The -I effect is the electron-withdrawing effect of a substituent, which is due to its electronegativity.$\\$Let's analyze the given substituents:$\\$• $$-NH$_2$ (amino group)$\\$• $$-OR$$ (alkoxy group)$\\$• $$-F$$ (fluorine atom)$\\$The strength of the -I effect is generally determined by the electronegativity of the atoms involved.$\\$• Fluorine (-F) is highly electronegative and exhibits a strong -I effect.$\\$• The alkoxy group (-OR) has an oxygen atom, which is less electronegative than fluorine,$\\$ but more electronegative than nitrogen in -NH$_2. \\$• The amino group $({-NH}_2)$has nitrogen, which is less electronegative than oxygen.$\\$Therefore, the order of -I effect from strongest to weakest is:$\\$-F > -OR > -NH$_2 \\$Now, let's evaluate the options:$\\$Option 1: -NH$_2 >$-OR$>$-F$\quad$(Incorrect, as -F should be strongest)$\\$Option 2: -NR$_2 <$-OR$<$-F$\quad$(Correct, as it matches the order)$\\$Option 3: -NH$_2 <$-OR$<$-F$\quad$(Correct, as it matches the order)$\\$Option 4: -NR$_2 >$-OR$>$-F$\quad$(Incorrect, as -F should be strongest)$\\$Therefore, the correct option is Option 3: -NH$_2 <$-OR$<$-F$$.