Solve 3-|-5-4n|<-38

Evaluate

3 - ∣ - 5 - 4 n ∣ < - 38

Calculate the absolute value

3 - ∣ 5 + 4 n ∣ < - 38

Rearrange the terms

- ∣ 5 + 4 n ∣ < - 41

Calculate

∣ 5 + 4 n ∣ > 41

Separate the inequality into 2 possible cases

5 + 4 n > 41 5 + 4 n < - 41

Solve the inequality for n

More Steps

n > 9 5 + 4 n < - 41

Solve the inequality for n

More Steps

n > 9 n < - \frac{23}{2}

Solution

n \in (- \infty, - \frac{23}{2}) \cup (9, + \infty)