Question

Solve the inequality 3(2k-1) < 9 for the given variable.

Answer 1

To solve the inequality 3(2k - 1) < 9, distribute the 3, then add 3 to both sides, and finally divide by 6, leading to the solution k < 2.

Step-by-step explanation:

To solve the inequality 3(2k - 1) < 9 for the variable k, follow these steps:

1. Distribute the 3 on the left side of the inequality: 6k - 3 < 9.
2. Add 3 to both sides to isolate the term containing k: 6k < 12.
3. Divide both sides by 6 to solve for k: k < 2.

The solution to the inequality is that k must be less than 2. This means if k represents the 90th percentile, then 90 percent of the scores are below 2, and 10 percent are the same or higher than 2.

Answer 2

To solve the inequality 3(2k-1) < 9, distribute the 3 inside the parentheses, add 3 to both sides, then divide by 6 to isolate k, resulting in k < 2.

Step-by-step explanation:

To solve the inequality 3(2k-1) < 9 for the variable k, you must follow several steps. Firstly, distribute the 3 to both terms within the parentheses, which gives you 6k - 3 < 9. Next, add 3 to both sides of the inequality to isolate the term with the variable, resulting in 6k < 12. Finally, divide both sides by 6 to solve for k, which gives you k < 2. Therefore, k must be less than 2 to satisfy the inequality.