x/-3 -2<-4

To solve the inequality \(\frac{x}{-3} - 2 < -4\), follow these steps:

1. Isolate the term with \(x\):

   \[ \frac{x}{-3} - 2 < -4 \]

   Add 2 to both sides:

   \[ \frac{x}{-3} < -4 + 2 \]

   Simplifying the right side gives:

   \[ \frac{x}{-3} < -2 \]

2. Multiply both sides by -3:

   Remember that when you multiply or divide both sides of an inequality by a negative number, you must flip the inequality sign:

   \[ x > 6 \]

3. Final Solution:

   So, the solution to the inequality is:

   \[ x > 6 \]

This means that \(x\) must be greater than 6.