Final Answer:
The ordered pairs that represent solutions to the system of linear inequalities are:
a. (2, 0)
b. (0, 4)
c. (-6, 1)
Step-by-step explanation:
The solutions are determined by testing each ordered pair in both inequalities. For option a, (2, 0) satisfies both inequalities as 3(2) - 5(0) > 10 and 0 > -2/5(2) + 3. Similarly, option b, (0, 4), is a solution as 3(0) - 5(4) > 10 and 4 > -2/5(0) + 3. However, option d, (1, 5), does not satisfy the first inequality.
In the explanation, it's important to note that the selected ordered pairs satisfy both inequalities simultaneously, meeting the criteria for a solution to the given system of linear inequalities. Additionally, the explanation emphasizes the process of substituting the values from each ordered pair into the inequalities to evaluate their validity. The non-satisfaction of option d is highlighted, reinforcing the precision in selecting the correct solutions.