A number n is more than 9 units from 3

Question

asked Feb 20, 2017 102k views

2 Answers

Grwlf · Answer 1 · 2017-02-26T02:37:07+0000

Answer:

The required inequity is:
$|n-3|\leq 9$

The required solution is:
$-6\leq n\leq 12$

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:
$-6\leq n\leq 12$