To solve the inequality [tex]\(\frac{x}{-3} \leq 3\)[/tex], follow these steps:
1. Start with the given inequality:
[tex]\[
\frac{x}{-3} \leq 3
\][/tex]
2. Isolate [tex]\(x\)[/tex]. To do this, multiply both sides of the inequality by [tex]\(-3\)[/tex]. Remember, when you multiply or divide both sides of an inequality by a negative number, you must reverse the direction of the inequality sign:
[tex]\[
x \geq 3 \times -3
\][/tex]
3. Simplify the right side of the inequality:
[tex]\[
3 \times -3 = -9
\][/tex]
4. Thus, the inequality becomes:
[tex]\[
x \geq -9
\][/tex]
So, the correct solution to the inequality [tex]\(\frac{x}{-3} \leq 3\)[/tex] is [tex]\(\boxed{x \geq -9}\)[/tex].
Therefore, the answer is:
C. [tex]\(x \geq -9\)[/tex]
