Chapter 6, Problem 13CR

To determine

Tofind:The inequality that describe all points in Quadrant III.

Answer to Problem 13CR

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.