Algebra-2

To solve the inequality 8 - |x + 3| > 2, let's follow these steps:

Step 1: Isolate the absolute value

Starting from the original inequality:

8 - |x + 3| > 2

Subtract 8 from both sides:

-|x + 3| > -6

Now, multiply both sides by -1 (remember to flip the inequality sign):

|x + 3| < 6

Step 2: Rewrite the absolute value inequality

The inequality |x + 3| < 6 can be rewritten as:

-6 < x + 3 < 6

Step 3: Solve the compound inequality

Now, we will split the compound inequality into two par...