Algebra-2

To solve the inequality -6|x + 1| + 4 > -14, let's follow these steps:

1.Isolate the absolute value:

-6|x + 1| + 4 > -14

First, subtract 4 from both sides:

-6|x + 1| > -18

Next, divide both sides by -6, remembering to flip the inequality sign:

|x + 1| < 3

2.Set up the two cases for the absolute value inequality:

The expression |x + 1| < 3 means: