## College Algebra (10th Edition)

$\gt$
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 $\gt$.