x/-3-2<-4

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
3 hours ago

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

  1. Isolate the term with \(x\): Start by adding 2 to both sides of the inequality. \[ \frac{x}{-3} < -4 + 2 \] \[ \frac{x}{-3} < -2 \]

  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. \[ x > -2 \times -3 \] \[ x > 6 \]

Therefore, the solution to the inequality is: \[ x > 6 \]