Question

Given the system of inequalities: x < 0 and y < 0. Which quadrant would be partly or wholly shaded?

Answer 1

III

Explanation:

X and Y are both negative in the 3rd quadrant, quadrant III.

Answer 2

The quadrant that would be partly or wholly shaded is:

Quadrant 3

Explanation:

• We know that the solution of the inequality :

x < 0

is the whole region below the x-axis.

i.e. the shaded region is below the line y=0 and excluding the line.

( Since, the inequality is strict)

i.e. this inequality covers the quadrant 3 and quadrant 4

• and the solution to the inequality :

y < 0

is the whole region to the left of y-axis.

i.e. the shaded region is to the left of the line x=0 and excluding the line ( since the inequality is strict )

i.e. this inequality covers quadrant 2 and quadrant 3.

Hence, the region that is common to both the inequality is:

Quadrant 3