Final answer:
Yes, the Addition Property of Inequality can be used to solve the inequality w - 4 > -10 by adding 4 to both sides, resulting in w > -6, without changing the inequality's direction.
Step-by-step explanation:
The question asks if the Addition Property of Inequality can be used to solve the statement w - 4 > -10. The Addition Property of Inequality states that you can add the same number to both sides of an inequality without changing the inequality's direction. Thus, to solve this inequality, you can add 4 to both sides to isolate w.
By adding 4 to both sides of the inequality w - 4 > -10, you get w > -6. This maintains the truth of the original inequality. Therefore, the answer to whether the Addition Property of Inequality can be used to solve the statement is Yes. This property is essential when working with inequalities because it helps to determine the range of solutions for a variable.