Algebra-2

To solve the inequality 4 - |x + 1| < 2, let's follow these steps:

Step 1: Isolate the absolute value

4 - |x + 1| < 2 ⟹ -|x + 1| < -2 ⟹ |x + 1| > 2

Step 2: Rewrite the absolute value inequality

The inequality |x + 1| > 2 can be split into two separate inequalities:

x + 1 > 2

x + 1 < -2

Step 3: Solve the inequalities

For x + 1 > 2:

x >

4.For x + 1 < -2:

x <