To determine if \( h = 12 \) is a solution to the equation \( h - 11 = 2 \), we substitute \( h \) with 12 in the equation:
\[ 12 - 11 = 2 \]
Now, simplify the left side:
\[ 1 = 2 \]
Since this statement is false, \( h = 12 \) is not a solution to the equation \( h - 11 = 2 \).