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Bader A.

asked • 09/28/18

pre calculus question !!

Let S be a nonempty subset of plane R^2 , it is known that every point (x, y) in S
satisfies “if x > 0 , then y > 0 ”. Consider the following properties possibly satisfied
by points (x, y) in S :
(I) If x ≤ 0 , then y ≤ 0 .
(II) If y ≤ 0 , then x ≤ 0 .
(III) If y > 0 , then x > 0 .
Which of the above properties will have to be satisfied by all points (x, y) in S?
(a) (II) only
(b) (III) only
(c) (I) and (II)
(d) (I) and (III)
(e) (II) and (III)

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