Question

Solve the inequality. \(13 \leq-\frac{x}{3}\)

Short answer

The solution to the inequality is \(x \leq -39\).

Step-by-step solution

Multiplication

First we multiply both sides of the inequality by -3 for isolating \(x\). This leads to needing to realize that whole multiplication by a negative number, the direction of the inequality changes. The result is \( -39 \geq x\)

Simplifying

We can re-write the inequality such that \(x\) is on the left, leading to \(x \leq -39\) which is success from the multiplication rule.