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