Final answer:
To verify if an ordered pair is in the solution set of the inequality -1.5x-3y<-6, substitute the x and y values into the inequality for each pair and see if the inequality is satisfied.
Step-by-step explanation:
The student question pertains to identifying which ordered pair is part of the solution set for the inequality -1.5x-3y<-6. To determine if an ordered pair (x, y) is a solution to the inequality, we substitute the x and y values into the inequality and check whether the inequality holds true. If after substituting the values the inequality is correct, then the ordered pair is part of the solution set.
To find out if the provided ordered pairs, such as (294.5, 61), (364, 70), and (605.5, 88.5), are solutions, we'll evaluate the inequality with each pair:
- For the pair (294.5, 61), substitute x = 294.5 and y = 61 and check if -1.5(294.5) - 3(61) < -6.
- For the pair (364, 70), substitute x = 364 and y = 70 and check if -1.5(364) - 3(70) < -6.
- For the pair (605.5, 88.5), substitute x = 605.5 and y = 88.5 and check if -1.5(605.5) - 3(88.5) < -6.
Once we have performed these calculations, any ordered pair resulting in a true statement for the inequality will be considered a solution to the inequality.