Final answer:
The ordered pair (0,0) satisfies both inequalities in the system when we substitute the values, confirming that (0,0) is indeed a solution.
Step-by-step explanation:
To determine whether the ordered pair (0,0) satisfies the system of inequalities -2x + y ≤ 7 and y ≥ (2x) / (5), we substitute x = 0 and y = 0 into each inequality.
- For the first inequality: -2(0) + 0 ≤ 7 simplifies to 0 ≤ 7, which is true.
- For the second inequality: 0 ≥ (2(0)) / (5) simplifies to 0 ≥ 0, which is also true.
Since (0,0) satisfies both inequalities, the answer is yes, the ordered pair (0,0) does satisfy the given system of inequalities.