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zepelin [54]
3 years ago
13

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

Mathematics
2 answers:
Julli [10]3 years ago
7 0

Answer:

III

Step-by-step explanation:

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

schepotkina [342]3 years ago
6 0
<h2>Answer:</h2>

The quadrant that would be partly or wholly shaded is:

                             Quadrant 3

<h2>Step-by-step explanation:</h2>
  • 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

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