Q:

Seven is at most the quotient of a number d - 5.

Accepted Solution

A:
The correct question is: Seven is at most the quotient of a number d and - 5.Answer:[tex]7\leq \frac{d}{-5}[/tex]Explanation:You need to translate the verbal statement into a mathematical (algebraic) expression; then obtain the algebraic equation or inequality.Seven is at most the quotient of a number d and - 5 is a compounded statement.Let's start with the second part: "the quotient of a number d and - 5"Quotient means division. So, the quotient of a number and other is the division of the first by the second. Writing the division if form of fraction, the quotient of a number d and - 5 is:         [tex]\frac{d}{-5}[/tex]The first part of the verbal statement, tells that seven is at most that quotient.That means that seven will be any value less than or equal to such quotient. Hence, the statement will be represented by an inequality.The symbol for less than or equal is ≤.Hence, the complete algebraic inequality is:[tex]7\leq \frac{d}{-5}[/tex]And that is the inequality that represents the verbal statement.Now, using the algebraic rules you can solve the inequality, but that is not the target of the question.