Answer:
[tex]7 \leq -\displaystyle\frac{d}{5}[/tex]
[tex]-7 \geq \displaystyle\frac{d}{5}[/tex]
Step-by-step explanation:
We have to form an inequality with the given information.
The quotient of a number d and -5 is given by:
[tex]\displaystyle\frac{d}{-5} = -\displaystyle\frac{d}{5}[/tex]
Now, this inequality is at most 7 that is the above expression can have the value of seven or less.
This can be written as:
[tex]7 \leq -\displaystyle\frac{d}{5}[/tex]
Multiplying both sides by -1, we have:
[tex]-7 \geq \displaystyle\frac{d}{5}[/tex]
Thus, [tex]7 \leq -\displaystyle\frac{d}{5}[/tex] is the required inequality.
The quotient of two numbers is the division of the numbers.
The inequality is: [tex]\mathbf{7 \le -\frac{d}{5}}[/tex]
The quotient of d and -5 is represented as:
[tex]\mathbf{Quotient = \frac{d}{-5}}[/tex]
This gives
[tex]\mathbf{Quotient = -\frac{d}{5}}[/tex]
7 is at most, the quotient.
So, we have:
[tex]\mathbf{7 \le -\frac{d}{5}}[/tex]
Hence, the inequality is: [tex]\mathbf{7 \le -\frac{d}{5}}[/tex]
Read more about inequalities at:
https://brainly.com/question/20383699
