Final answer:
The ordered pair (0, -3) is tested as a potential solution for the inequality 5x + 8y ≥ 2. Upon substitution and simplifying, the inequality is not satisfied, hence (0, -3) is not a solution to the inequality.
Step-by-step explanation:
The question asks us to determine whether the ordered pair (0, -3) is a solution to the inequality 5x + 8y ≥ 2. To do this, we substitute the x-value and the y-value from the ordered pair into the inequality:
5(0) + 8(-3) ≥ 2
After performing the substitution, we get:
0 - 24 ≥ 2
Which simplifies to:
-24 ≥ 2
This is not a true statement, therefore (0, -3) is not a solution to the inequality 5x + 8y ≥ 2.