Solve the inequality: -2.6x – 20.8 ≤ -52

Answer 1

To solve the inequality \(-2.6x - 20.8 \leq -52\), follow these steps:

1. Add 20.8 to both sides to isolate the term with \(x\): \[ -2.6x \leq -52 + 20.8 \] \[ -2.6x \leq -31.2 \]

2. Divide both sides by -2.6. Remember that when dividing by a negative number, the inequality sign flips: \[ x \geq \frac{-31.2}{-2.6} \] \[ x \geq 12 \]

Thus, the solution to the inequality is: \[ x \geq 12 \]