What is the solution to the inequality 3-|4-n|>1? no solution all real numbers n > 2 or n < 6 2 < n < 6

3-|4-n|>1

3-3 - |4-n| > 1-3

-|4-n| > - 2

-|4-n|/-1 > - 2/-1

|4-n| < 2

**inequality flips when dividing by a negative, absolute values give 2 answers

4-n <2

or

4-n >-2

n > 2. or. n < 6

2 < n < 6