Question

. \\(\frac{x}{-3} - 2 < -4\\)

Explanation:

Step1: Add 2 to both sides

To isolate the term with \( x \), we add 2 to both sides of the inequality \(\frac{x}{-3}-2 < -4\). This gives us \(\frac{x}{-3}-2 + 2< -4 + 2\), which simplifies to \(\frac{x}{-3}< -2\).

Step2: Multiply both sides by -3 (reverse inequality)

When we multiply or divide both sides of an inequality by a negative number, we must reverse the inequality sign. So, multiplying both sides of \(\frac{x}{-3}< -2\) by -3, we get \(\frac{x}{-3}\times(-3)> -2\times(-3)\) (note the reversed inequality sign). This simplifies to \(x > 6\).

Answer:

\(x > 6\)