Question

(2y - 4)(2y + 4) < 2y(2y - 1)

Answer 1

4y^2 + 8y - 8y -16 < 4y^2 -2y

-16 < -2y

8 > y

Answer 2

To solve the inequality (2y - 4)(2y + 4) < 2y(2y - 1), you can follow these steps:

1. First, expand both sides of the inequality:

   (2y - 4)(2y + 4) < 2y(2y - 1)

   (4y^2 - 16) < (4y^2 - 2y)

2. Now, subtract 4y^2 from both sides of the inequality to isolate the terms with 'y' on one side:

   -16 < -2y

3. Divide both sides of the inequality by -2. Remember that when you divide by a negative number, you need to reverse the direction of the inequality:

   (-16) / (-2) > y

4. Simplify the right side:

   8 > y

So, the solution to the inequality is:

y < 8