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 $-\frac{1}{4}x \gt 1$, then, multiplying $-4$ to each side of the inequality gives:
$-4 (-\frac{1}{4}x) \lt -4(1)
\\x \lt -4$
Thus, the missing inequality symbol in the given statement is $\lt$.
