Question

Determine the solution set for the inequality statement:
-y/2 + 4 < -10

Answer 1

To solve the inequality -y/2 + 4 < -10, isolate y to find that y must be greater than 12. The solution set consists of all real numbers greater than 12.

Step-by-step explanation:

To determine the solution set for the inequality -y/2 + 4 < -10, follow these steps:

1. Start by isolating the variable y. Add y/2 to both sides of the inequality to get 4 < y/2 - 10.
2. Next, add 10 to both sides to obtain y/2 > 6.
3. Multiply both sides by 2 to eliminate the fraction and solve for y, resulting in y > 12.

The solution set for the given inequality is all real numbers y that are greater than 12.