Question

SOLVING INEQUALITIES Solve the inequality. $$-\frac{x}{3} \geq 15$$

Short answer

So, the solution to the inequality \(-\frac{x}{3} \geq 15\) is \(x \leq -45\).

Step-by-step solution

Multiply both sides of the inequality by -3

In this step, both sides of the inequality will be multiplied by -3. Keep in mind that when you multiply or divide an inequality by a negative number, the direction of inequality changes. So, \(-\frac{x}{3} \geq 15\) becomes \(x \leq -45\).

Check the solution

In order to be confidently sure about the correctness of the solution, substituting any number less than or equal to -45 to \(x\) in the original inequality would satisfy it.