Question

he coordinate plane is separated into four quadrants as shown.



Let p: x < 0
Let q: y < 0

What is represented by p ∨ q?

quadrant 1 because both x and y are positive coordinates
quadrant 3 because both x and y are negative coordinates
quadrants 1, 2, and 4 because in these quadrants x, y, or both are positive coordinates
quadrants 2, 3, and 4 because in these quadrants x, y, or both are negative coordinates

Answer 1

Quadrants 2, 3, and 4.

Reason: p (x<0) holds in Q2 and Q3; q (y<0) holds in Q3 and Q4. The OR (p ∨ q) is true wherever either condition holds, i.e. Q2 ∪ Q3 ∪ Q4.