To solve the inequality \(6x \leq 12\), let's follow these steps:
1. Start with the given inequality:
[tex]\[
6x \leq 12
\][/tex]
2. Isolate the variable \(x\) by dividing both sides of the inequality by 6 (the coefficient of \(x\)):
[tex]\[
\frac{6x}{6} \leq \frac{12}{6}
\][/tex]
3. Simplify both sides:
[tex]\[
x \leq 2
\][/tex]
So, the correct solution for the inequality \(6x \leq 12\) is:
[tex]\[
x \leq 2
\][/tex]
This means the value of \(x\) can be any number that is less than or equal to 2.
Therefore, the correct choice is:
D. [tex]\( x \leq 2 \)[/tex]
