if x ≥ 0 and y ≥ 0, then which quadrant holds the solution?
A ) IV
B ) III
C ) I
D ) II
The quadrants of the Cartesian coordinate system are numbered as follows:
Quadrant I : x > 0, y > 0
Quadrant II : x < 0, y > 0
Quadrant III : x < 0, y < 0
Quadrant IV : x > 0, y < 0
The conditions given are x ≥ 0 and y ≥ 0. This means that both x and y are not negative. The solutions that satisfy these conditions belong to Quadrant I, where both x and y are positive, or on the axes bordering Quadrant I if x or y equals zero.
The correct answer is:
C ) I