-8(5-х)>10

To solve the inequality \(-8(5 - x) > 10\), follow these steps: 1. Distribute the \(-8\) on the left side: \[ -8 \cdot 5 + 8x > 10 \] This simplifies to: \[ -40 + 8x > 10 \] 2. Add \(40\) to both sides: \[ 8x > 10 + 40 \] Simplifying this gives: \[ 8x > 50 \] 3. Now, divide both sides by \(8\): \[ x > \frac{50}{8} \] Simplifying \(\frac{50}{8}\) gives: \[ x > 6.25 \] So the solution to the inequality is: \[ x > 6.25 \]