Question

Seven is at most the quotient of a number d and −5(what is the inequality?)

Answer 1

Answer: 7≤ d/-5

At most=7 cannot be more than, but can be equal to.
Quotient: The resulting answer after one number is divided by another. 

Answer 2

Answer:

$7 \leq -\displaystyle\frac{d}{5}$

$-7 \geq \displaystyle\frac{d}{5}$

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:

$\displaystyle\frac{d}{-5} = -\displaystyle\frac{d}{5}$

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:

$7 \leq -\displaystyle\frac{d}{5}$

Multiplying both sides by -1, we have:

$-7 \geq \displaystyle\frac{d}{5}$

Thus, $7 \leq -\displaystyle\frac{d}{5}$ is the required inequality.