Respuesta :

n < 9 +- 3
N is less than 9 plus/minus 3

Answer:

The required inequity is: [tex]|n-3|\leq 9[/tex]

The required solution is: [tex]-6\leq n\leq 12[/tex]

Step-by-step explanation:

Consider the provided information.

The given statement is A number n is more than 9 units from 3.

Let the number 'n' is more than 9 units from 3.

Since more than 9 unit is distance, and distance can be in both the direction so take the absolute value as shown.

[tex]|n-3|\leq 9[/tex]

Thus, the required inequity is: [tex]|n-3|\leq 9[/tex]

Now we can solve it as shown.

[tex]-9\leq n-3\leq 9[/tex]

[tex]-9+3\leq n\leq 9+3\\-6\leq n\leq 12[/tex]

Hence, the required solution is: [tex]-6\leq n\leq 12[/tex]

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