Question

directions: use this information to answer parts a and b.
2 < -\frac{x}{3}
part a
solve the inequality by entering the correct answer in the box.

Explanation:

Step1: Multiply both sides by -3

When multiplying an inequality by a negative number, the inequality sign flips. So, multiply both sides of \(2 < -\frac{x}{3}\) by -3: \(2\times(-3) > -\frac{x}{3}\times(-3)\)

Step2: Simplify both sides

Simplify the left side: \(2\times(-3)= -6\). Simplify the right side: \(-\frac{x}{3}\times(-3)=x\). So we get \(x < -6\)

Answer:

\(x < -6\)