Question

which choice is an inequality for this sentence? a number divided by four is at most 6. a. \\(\frac{k}{4} > 6\\) b. \\(\frac{4}{k} \leq 6\\) c. \\(\frac{k}{4} \geq 6\\) d. \\(\frac{k}{4} < 6\\) e. \\(\frac{k}{4} \leq 6\\)

Explanation:

Step1: Define the unknown number

Let the number be $k$.

Step2: Translate "divided by four"

The expression is $\frac{k}{4}$.

Step3: Translate "at most 6"

"At most" means less than or equal to, so $\leq 6$.

Step4: Combine into inequality

$\frac{k}{4} \leq 6$

Answer:

E. $\frac{k}{4} \leq 6$