#### Answer

Fill the blanks with
adding 4
dividing
-3
inequality symbol (or, direction of the inequality)
$\gt $
$ \lt $

#### Work Step by Step

The idea is to isolate x on one side.
Adding, subtracting or multiplying/dividing with a positive number preserves the order (the inequality symbol remains).
Multiplying/dividing with a negative number inverts the order (the inequality symbol changes)
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$-3x-4 \gt 5 \qquad ...$ add 4 to both sides
$-3x \gt 9 \qquad $ ... divide both sides with $-3$ (negative!)
$ x \lt -3$