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

Sagot :

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.

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