Which quadrant corresponds to x < 0 and y < 0?

Which quadrant corresponds to x < 0 and y < 0?

• A. Quadrant I
• B. Quadrant II
• C. Quadrant III
• D. Quadrant IV

Answer: (C)

In the Cartesian plane, each quadrant is determined by the signs of x and y. If x is negative, you’re left of the vertical axis; if y is negative, you’re below the horizontal axis. Having both x and y negative places you in the bottom-left part of the plane, which is the third quadrant. In that region both coordinates are negative. The other regions correspond to the other sign patterns: positive x and y for the top-right, negative x and positive y for the top-left, and positive x and negative y for the bottom-right. So x < 0 and y < 0 points to the bottom-left quadrant.

In the Cartesian plane, each quadrant is determined by the signs of x and y. If x is negative, you’re left of the vertical axis; if y is negative, you’re below the horizontal axis. Having both x and y negative places you in the bottom-left part of the plane, which is the third quadrant. In that region both coordinates are negative. The other regions correspond to the other sign patterns: positive x and y for the top-right, negative x and positive y for the top-left, and positive x and negative y for the bottom-right. So x < 0 and y < 0 points to the bottom-left quadrant.