6 left parenthesis 2.5 x minus 8 right parenthesis greater than or equals 42

Answer 1

To solve the inequality \( 6(2.5x - 8) \geq 42 \), follow these steps:

1. Distribute the 6: \[ 15x - 48 \geq 42 \]

2. Add 48 to both sides: \[ 15x \geq 42 + 48 \] \[ 15x \geq 90 \]

3. Divide both sides by 15: \[ x \geq \frac{90}{15} \] \[ x \geq 6 \]

So the solution to the inequality is: \[ \boxed{x \geq 6} \]