-12/3х>25

To solve the inequality \(-\frac{12}{3}x > 25\), we can simplify it step by step. 1. First, simplify \(-\frac{12}{3}\): \[ -\frac{12}{3} = -4 \] So the inequality becomes: \[ -4x > 25 \] 2. Next, divide both sides of the inequality by \(-4\). Remember that when you divide both sides of an inequality by a negative number, you must reverse the inequality sign: \[ x < \frac{25}{-4} \] 3. Now, simplify: \[ \frac{25}{-4} = -\frac{25}{4} \] So, the solution to the inequality is: \[ x < -\frac{25}{4} \] or in decimal form, \[ x < -6.25 \] This means that \(x\) can take any value less than \(-6.25\).