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Chapter 1: Problem 13

Determine the quadrant(s) in which \((x, y)\) is Iocated so that the condition(s) is (are) satisfied. $$x<0 \text { and }-y>0$$

Short Answer

Expert verified
The conditions given are satisfied in the third quadrant.

Step by step solution

01

Identify the coordinates

The conditions provided are \(x<0\) and \(-y>0\). The first condition implies that the x-coordinates are negative while the second condition, \(-y > 0\), can be rewritten as \(y < 0\), implying that the y-coordinates are also negative.
02

Determine the quadrant

The quadrant that has both x and y coordinates negative is the third quadrant. In the third quadrant, x-coordinates are negative as they move away from the y-axis, and y-coordinates are negative as they move downward from the x-axis.
03

Summary

With these considerations, it's clear that the conditions \(x<0\) and \(-y>0\) can only be met in the third quadrant.

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