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The given sentence is: 
"The quotient of a number and 4 is at most 7."

To translate this into an inequality, let's break it down:

- "The quotient of a number and 4" means \(\frac{x}{4}\), where \(x\) represents the unknown number.
- "Is at most" means less than or equal to (≤).
- "7" is the given upper bound.

Therefore, the inequality is:

\[
\frac{x}{4} \leq 7
\]

Now, to make it simpler:
If you wanted to solve for \(x\), you could multiply both sides by 4 to get:
\[
x \leq 28
\]

Would you like further explanation or have any other questions?

Here are 5 related questions:
1. How would you solve an inequality if the comparison was "is at least" instead of "at most"?
2. What happens when you multiply or divide an inequality by a negative number?
3. How would you write an inequality for "The difference of a number and 5 is greater than 10"?
4. Can an inequality have more than two sides (e.g., like a compound inequality)?
5. How do you graph inequalities on a number line?

**Tip**: Always reverse the inequality sign when multiplying or dividing by a negative number in an inequality.

The quotient of a number and 4 is at most 7.

Learn how to express 'The quotient of a number and 4 is at most 7' as an inequality. This problem focuses on basic algebraic inequalities, translating word sentences into mathematical expressions, and solving inequalities step by step. Suitable for students in Grades 6-8.

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