inequalities

Question

If x>y and xy < 0, which of the following inequalities must be true?
I. x>0
II. y>0
III. y x <0
(A) I only (B) II only (C) III only (D) I and III only (E) I, II, and III

If x>y and xy < 0, which of the following inequalities must be true?
I. x>0

II. y>0 

III. 

y

x

<0

     (A)  I only      (B)  II only      (C)  III only      (D)  I and III only      (E)  I, II, and III

Answer 1

If   xy<0 , then either x or y is negative.  Since  x>y , then x is positive and y is negative.

 

This condition satisfies  I and III.