Respuesta :
The solution of the inequality 3 – |4 – n| > 1 will be 2 < n < 6.
What is the solution of the equation?
The solution of the equation means the value of the unknown or variable.
The inequality is given below.
3 – |4 – n| > 1
On solving the inequality, we have
3 – |4 – n| > 1
|4 – n| < 3 – 1
|4 – n| < 2
The inequality is defined as,
[tex]\left|4-n \right|=\left\{\begin{matrix}4 - n & n \geq 0 \\\\- 4 + n & n < 0 \\\end{matrix}\right.[/tex]
For n ≥ 0, we have
4 – n < 2
n > 2
For n < 0, we have
n – 4 < 2
n < 6
Then the solution of the inequality will be 2 < n < 6.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
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