Question

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:
\[
\boxed{x \geq 6}
\]