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.