Answer
$\lt$
Work Step by Step
The Multiplication Property of Inequality states that if a negative number $c$ is multiplied to each side of $a \gt b$, then $ac \lt bc$.
Thus, if $x \gt 6$, then multiplying $-2$ to each side of the inequality gives:
$-2(x) \lt -2(6)
\\-2x \lt -12$
Thus, the missing inequality symbol in the given statement is $\lt$.