Question

write an inequality to represent \7 less than one sixth of a number is at most 45.\
a. $7 - n + \frac{1}{6} < 45$

b. $\frac{1}{6}n \leq 45 - 7$

c. $\frac{1}{6}n - 7 \leq 45$

d. $7n - \frac{1}{6} < 45$

Explanation:

Step1: Define the number

Let the number be \( n \).

Step2: Translate "one sixth of a number"

One sixth of the number \( n \) is \( \frac{1}{6}n \).

Step3: Translate "7 less than one sixth of a number"

"7 less than" \( \frac{1}{6}n \) means \( \frac{1}{6}n - 7 \).

Step4: Translate "is at most 45"

"Is at most 45" means the expression is less than or equal to 45, so \( \frac{1}{6}n - 7 \leq 45 \).

Answer:

C. \(\frac{1}{6}n - 7 \leq 45\)