Algebra-2

To solve the inequality 2 |3y - 4| + 5 > 11, follow these steps:

Step 1: Isolate the absolute value

Start with the original inequality:

2 |3y - 4| + 5 > 11

Subtract 5 from both sides:

2 |3y - 4| > 6

Now, divide both sides by 2:

|3y - 4| > 3

Step 2: Rewrite the absolute value inequality

The inequality |3y - 4| > 3 can be split into two separate inequalities:

3y - 4 > 3

3y - 4 < -3

Step 3: Solve the inequalities

For 3y - 4 > 3:

3y >

y >

For 3y - 4 < -3:

3y <

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