Final answer:
An ordered pair is a solution to the inequality 3x - 5y > 10 if, when the x and y values are substituted into the inequality, the result is a true statement. For example, (5, -1) is a solution because it satisfies the inequality when substituted.
Step-by-step explanation:
To find an ordered pair that is a solution to the linear inequality 3x - 5y > 10, you need to select a pair of values for x and y that make the inequality true when substituted into it. For example, let's test the ordered pair (5, -1). When we substituted into the inequality, we get 3(5) - 5(-1) = 15 + 5 = 20, which is greater than 10, so (5, -1) is indeed a solution to the inequality.
To verify if a particular ordered pair is a solution, simply substitute the x and y values into the inequality and check if the inequality holds true.
Generally, when dealing with linear inequalities, you could also graph the corresponding linear equation (e.g., 3x - 5y = 10) and then determine which side of the line represents the solution set for the inequality.