To solve the inequality \(420 - 8 < 12\), we first simplify the left side:
\[ 420 - 8 = 412 \]
Now, we can substitute it back into the inequality:
\[ 412 < 12 \]
This statement is false, as \(412\) is greater than \(12\). Therefore, the inequality \(420 - 8 < 12\) is not true.