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Answer:
ANSWER
n < - 3 \: or \: n > - 2n<−3orn>−2
EXPLANATION
The given inequality is,
|2n + 5| \: > \: 1∣2n+5∣>1
By the definition of absolute value,
- (2n + 5) \: > \: 1 \: or \: (2n + 5) \: > \: 1−(2n+5)>1or(2n+5)>1
We divide through by negative 1, in the first part of the inequality and reverse the sign to get,
2n + 5 \: < \: - 1 \: or \: (2n + 5) \: > \: 12n+5<−1or(2n+5)>1
We simplify now to get,
2n \: < \: - 1 - 5 \: or \: 2n \: > \: 1 - 52n<−1−5or2n>1−5
2n \: < \: - 6 \: or \: 2n \: > \: - 42n<−6or2n>−4
Divide through by 2 to obtain,
n \: < \: - 3 \: or \: n \: > \: - 2n<−3orn>−2
Answer:

Step-by-step explanation:
Given the equation

This equation consists of two parts. In the left part, there is a logarithmic function
In the right part, there is a linear function 
To solve the equation graphically, you have to plot the graphs of these two functions and find the point of intersection of these graphs.
Hence, appropriate system is

The slope of the line is -9/2