Algebra-2

To solve the inequality |2y - 4| < 6, we first break it down into two separate inequalities:

Step 1: Rewrite the Absolute Value Inequality

The expression |2y - 4| < 6 means:

-6 < 2y - 4 < 6

 

Step 2: Solve the Inequalities

For the left part of the inequality:

−6 < 2y−4 < 6

Adding 4 to both sides:

−2 < 2y

Dividing by 2:

−1 < y or y > −1

 

For the right part of the inequality:

2y - 4 < 6

Adding 4 to both sides:

2y < 10

Dividing by 2: