Final answer:
When both x and y are greater than or equal to 0, the solution lies in Quadrant I of the coordinate system, which is the quadrant where both x and y values are positive. The correct answer is option C. I
Step-by-step explanation:
If x ≥ 0 and y ≥ 0, the solutions for any system of equations or inequalities would be in the first quadrant. This is because the first quadrant is where both x and y values are positive. As it's explained in Figure 2.19, vectors in the first quadrant have both scalar components positive, which corresponds to the positive x and y we're considering.
Therefore, for a vector or point in a coordinate system that has both x and y coordinates as non-negative values, the quadrant that will hold the solution is Quadrant I.