Question

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

Answer 1

`x\le -80`

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,

`(x)/(-5)-18\le-2`

Adding 18 to both sides.

`(x)/(-5)-18+18\le-2+18\\\\(x)/(-5)\le16`

Multiply both sides by -5

`(x)/(-5)* -5\le 16* -5\\\\x\le -80`

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