Algebra-2

To solve the inequality |2n + 4| - 3 < 5, follow these steps:

Step 1: Isolate the absolute value

Start by adding 3 to both sides of the inequality:

|2n + 4| < 5 + 3

This simplifies to:

|2n + 4| < 8

Step 2: Rewrite the absolute value inequality

The inequality |2n + 4| < 8 can be rewritten as:

-8 < 2n + 4 < 8

Step 3: Split into two inequalities

Now we can split this compound inequality into two parts:

2n + 4 < 8

2n + 4 > -8

Step 4: Solve each part

For the first part:

Click "Show Answer" to reveal the answer and analysis