Question

The 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

the actual answer is D. Quadrants 2, 3, and 4 because in these quadrants x, y, or both are negative coordinates.

Answer 2

The correct answer is 'Quadrant 2,3,4'.

Explanation:

We are given that p: x<0 and q: y<0.

The graph of 'p' after plotting will give the quadrant 2 and 3 as the value of x is negative here.

Also, the graph of 'q' after plotting will give the quadrant 3 and 4 as the value of y is negative here.

Now, we are required to find 'pVq' i.e. 'p or q' ( where V is the disjunction OR ) i.e. satisfying either x<0 or y<0 or both x<0 and y<0.

Hence, pVq = quadrants 2,3 and 4 as both x, y are negative in these quadrants.