-12/3х>25

To solve the inequality \(-\frac{12}{3}x > 25\), we will first simplify the fraction and then isolate \(x\). 1. Simplify \(-\frac{12}{3}x\): \[ -\frac{12}{3} = -4 \] So the inequality becomes: \[ -4x > 25 \] 2. Divide both sides of the inequality by -4. Remember that when you divide or multiply an inequality by a negative number, you must flip the inequality sign: \[ x < \frac{25}{-4} \] 3. Calculate \(\frac{25}{-4}\): \[ x < -\frac{25}{4} \] 4. Simplify \(-\frac{25}{4}\): \[ -\frac{25}{4} = -6.25 \] Thus, the solution to the inequality is: \[ x < -6.25 \]