The solution to the inequality is: 2<n<6.
What is inequality?
" In mathematics, inequality is a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions."
Given inequality: 3-|4-n|>1
⇒ - |4 - n| > -2 [by subtracting 3 on either side of the inequality]
⇒ |4-n| < 2 [multiplying by'-1' on either side of the inequality]
⇒ -2<4-n <2 [using absolute rule]
Therefore, 4-n > -2
⇒ -n > -6
⇒ n < 6
Again, 4-n < 2
⇒ -n < -2
⇒ n > 2
By combine two intervals, we can say: 2<n<6
Hence, the value of n lies in between (2,6).
Learn more about inequality here: https://brainly.com/question/17675534
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