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Mathematics 38 Online
kgobin802:

If j and k are nonzero integers, which pair of points must lie in the same quadrant?

Mercury:

answer choices (please post these next time) (j, j) and (k, k) (j, k) and (jk, jk) (j + k, 3) and (3, j + k) (3j, 3k) and (3/j, 3k)

Mercury:

now, this requires a bit of trial and error, but the main idea: if two points lie in the same quadrant, their x-coordinates must have the same sign, and their y-coordinates must have the same sign ex: (+, -) and (+, -) or (-, +) and (-,+), etc. an easier way to approach this is to try to find some j and k combination that will *not* be in the same quadrant, to eliminate answer choices for example, starting with (j, j) and (k, k), if we let j = 1 and k = -1 then the points are (1,1) and (-1,-1) which are clearly not in the same quadrant, so it can't be choice 1. repeat this logic for the rest of the answer choices.

Mercury:

alternative way of thinking: think about which operations can/can't/must change the sign of a number

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