Algebra-2

To solve the inequality -8|x + 1| > -24, follow these steps:

Step 1: Isolate the absolute value

Start with the original inequality:

-8|x + 1| > -24

Now, divide both sides by (-8). Remember, when dividing by a negative number, we need to flip the inequality sign:

|x + 1| < 3

Step 2: Rewrite the absolute value inequality

The inequality |x + 1| < 3 can be split into two separate inequalities:

x + 1 < 3

x + 1 > -3

Step 3: Solve the inequalities

For x + 1 < 3:

x <

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