Answer:
[tex]x\le -80[/tex]
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,
[tex]\dfrac{x}{-5}-18\le-2[/tex]
Adding 18 to both sides.
[tex]\dfrac{x}{-5}-18+18\le-2+18\\\\\dfrac{x}{-5}\le16[/tex]
Multiply both sides by -5
[tex]\dfrac{x}{-5}\times -5\le 16\times -5\\\\x\le -80[/tex]
So, the solution of the given statement is x is less than equal to -80.
