To solve the inequality \( 3x \geq 27 \), follow these steps:
1. Identify the inequality: You start with \( 3x \geq 27 \).
2. Isolate the variable: To isolate \( x \), you need to divide both sides of the inequality by 3. This is done because the coefficient of \( x \) is 3.
[tex]\[
\frac{3x}{3} \geq \frac{27}{3}
\][/tex]
3. Simplify: After dividing, the inequality simplifies to:
[tex]\[
x \geq 9
\][/tex]
Thus, the solution to the inequality \( 3x \geq 27 \) is \( x \geq 9 \).
Among the given choices, the correct answer is:
D. [tex]\( x \geq 9 \)[/tex]