Question

what is "18 less than the quotient of a number and -5 is at most -2" translated ​

Answer 1

Answer:

$x\le -80$

Step-by-step explanation:

The given statement is "18 less than the quotient of a number and -5 is at most -2",

Let the number be x.

At most means, a ≤ b

So,

$\dfrac{x}{-5}-18\le-2$

Adding 18 to both sides.

$\dfrac{x}{-5}-18+18\le-2+18\\\\\dfrac{x}{-5}\le16$

Multiply both sides by -5

$\dfrac{x}{-5}\times -5\le 16\times -5\\\\x\le -80$

So, the solution of the given statement is x is less than equal to -80.