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12 Dec 2019, 03:05
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If x < y, which of the following must be true?
I. |x| < |y|
II. x - y < 0
III. x^2 - y^2 < 0
A. I only
B. II only
C. III only
D. I and II
E. II and III
I. |x| < |y|
II. x - y < 0
III. x^2 - y^2 < 0
A. I only
B. II only
C. III only
D. I and II
E. II and III
12 Dec 2019, 05:38
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If x < y, which of the following must be true?
I. |x| < |y|.......If x and y are positive, yes and if x is negative, it can be yes or no.
Let a=-8 and b=3....NO
II. x - y < 0........x<y => x-y<y-y => x/y<0....YES
III. x^2 - y^2 < 0......x^2<y^2..same as I. NO
Only II.
B. II only
I. |x| < |y|.......If x and y are positive, yes and if x is negative, it can be yes or no.
Let a=-8 and b=3....NO
II. x - y < 0........x<y => x-y<y-y => x/y<0....YES
III. x^2 - y^2 < 0......x^2<y^2..same as I. NO
Only II.
B. II only
07 Jun 2020, 05:44
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chetan2u
x < y, then we can square both sides
x^2 < y^2
We can then rewrite it as x^2 - y^2 < 0 which is a third statement.
Can you please explain why this is not "must true" statement?
x < y, then we can square both sides
x^2 < y^2
We can then rewrite it as x^2 - y^2 < 0 which is a third statement.
Can you please explain why this is not "must true" statement?
