Answer:
The required inequity is: \(|n-3|\leq 9\)
The required solution is: \(-6\leq n\leq 12\)
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.
\(|n-3|\leq 9\)
Thus, the required inequity is: \(|n-3|\leq 9\)
Now we can solve it as shown.
\(-9\leq n-3\leq 9\)
\(-9+3\leq n\leq 9+3\\-6\leq n\leq 12\)
Hence, the required solution is: \(-6\leq n\leq 12\)
