Algebra-2

To solve the inequality -6|y - 2| < -18, follow these steps:

Step 1: Isolate the absolute value

Start with the inequality:

-6|y - 2| < -18

Now, divide both sides by (-6). Remember, dividing by a negative number reverses the inequality:

|y - 2| > 3

Step 2: Rewrite the absolute value inequality

The inequality |y - 2| > 3  can be split into two separate inequalities:

y - 2 > 3

y - 2 < -3

Step 3: Solve the inequalities

For y - 2 > 3:

y >