Answer
$\gt$
Work Step by Step
The Multiplication Property of Inequality states that if a posirive number $c$ is multiplied to each side of $a \gt b$, then $ac \gt bc$.
Thus, if $2x \gt 6$, then, multiplying $\frac{1}{2}$ to each side of the inequality gives:
$2x(\frac{1}{2}) \gt 6(\frac{1}{2})
\\x \gt 3$
Thus, the missing inequality symbol in the given statement is $\gt$.