Chapter 6, Problem 13PFA

To determine

To find: The inequality that describe all points in Quadrant III.

Answer to Problem 13PFA

In Quadrant III, $x<0,y<0$ , i.e., option C is correct.

Explanation of Solution

Given information:

The given inequalities are

A $x>0,y<0$ B $x<0,y>0$ C $x<0,y<0$ D $x<y,y<0$

Concept used:

In quadrant III both x and y are negative.

In Quadrant both x and y are negative that implies $x<0,y<0$ , i.e., option C is correct.

The signs on values of x and y in four quadrants are shown in Figure-1.

Conclusion:

In Quadrant III, $x<0,y<0$ , i.e., option C is correct.