Quadrants: Determine the quadrant(s) in which (x, y) is loca

G

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Guest
Determine the quadrant(s) in which the point (x, y) is located so that the given conditions are satisfied.

I attempted these all, so they can be checked to see if they're right..

1) x < 0 and y < 0:
Quadrant III

2) x < 0 and y > 0:
Quadrant II

3) x > 2 and y = 3:
Quadrant I

4) x > 4:
Quadrant I or IV

5) xy < 0:
Quadrant III or IV

6) (-x, y) is in the 4th quadrant:
Quadrant I
 
I agree with your answers for questions (1) through (4).

5) For the product of x and y to be negative, then one of x and y is negative and the other is positive. So (x, y) is of the type (-2, 3) or (2, -3), etc, etc. Which quadrants are these?

6) If (-x, y) is in Quadrant IV, then -x is positive and y is negative. Then -(-x) = +x is negative, so (x, y) has a negative x-value and a negative y-value. Which quadrant is this?

Eliz.
 
5) For the product of x and y to be negative, then one of x and y is negative and the other is positive. So (x, y) is of the type (-2, 3) or (2, -3), etc, etc. Which quadrants are these?

--Quad 2 or 4



6) If (-x, y) is in Quadrant IV, then -x is positive and y is negative. Then -(-x) = +x is negative, so (x, y) has a negative x-value and a negative y-value. Which quadrant is this?
--quad 3
 
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