Which quadrant does #(-3, 4)# lie in?

Answer 1

The second one. Quadrants are characterised by signs of coordinates. Both signs + mean QI, signs #-+# (what you have here) mean QII, both #-# mean QIII, and #+ -# mean QIV. Why is it so? Quadrants divide the full circle of directions from the origin to desired point, into 4 equal parts. We start tracing direction from the positive abscissa by convention. So the first quarter-circle (in counterclockwise direction) covers the area where both coordinates are positive. Second quarter-circle then covers the area where first coordinate is negative and second coordinate positive, and so on.

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Answer 2

Savannah Anderson

The point (-3, 4) lies in the second quadrant.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.