Sure, I'd be happy to help with that.
The given inequation is x + 5y > 10. This means that when we substitute the x and y values from the ordered pair into the equation, the result should be greater than 10 for it to be a solution. Let's evaluate each pair:
1. For the pair (1, 2):
Substitute x = 1 and y = 2 into the inequality: 1 + 5(2) = 1 + 10 = 11.
As 11 is greater than 10, therefore (1, 2) is a solution to the inequality.
2. For the pair (0, 3):
Substitute x = 0 and y = 3 into the inequality: 0 + 5(3) = 0 + 15 = 15.
As 15 is greater than 10, therefore (0, 3) is a solution to the inequality.
3. For the pair (2, 0):
Substitute x = 2 and y = 0 into the inequality: 2 + 5(0) = 2 + 0 = 2.
Since 2 is not greater than 10, therefore (2, 0) is not a solution to the inequality.
So, to summarise: The pairs (1, 2) and (0, 3) are both solutions to the given inequality, whereas the pair (2, 0) is not a solution.