.
6|7 + 7n| + 8 < 50 ====>
6|7 + 7n| < 50 - 8
6|7 + 7n| < 42 ====> divide both sides by 6 ====>
|7 + 7n| < 7 ====> divide both sides by 7 ====>
|1 + n| < 1 ====> same as ====>
|n + 1| < 1 ====> same as |n - (-1)| < 1.
The solution to the last inequality is the set of real numbers n that are remoted LESS THAN 1 unit from the number
(from the point in the number line) "-1", i.e. -2 < n < 0.
Answer. The solution is the set -2 < n < 0, or, in the interval notation, the interval (-2,0).