Final answer:
The inequality that represents all possible solutions of -4n < 16 is n > -4, which is obtained by dividing both sides of the original inequality by -4 and changing the direction of the inequality sign.
Step-by-step explanation:
The inequality that represents all possible solutions of -4n < 16 can be solved by dividing both sides of the inequality by -4. However, we must remember that when we divide or multiply an inequality by a negative number, the direction of the inequality sign changes. So dividing by -4, the inequality becomes n > -4.
To solve this inequality step-by-step:
- Divide each side of the inequality -4n < 16 by -4.
- Change the direction of the inequality to get n > -4.
This means that n can take any value greater than -4 to satisfy the inequality.