It is given that
is positive and
is negative, this implies that
x is positive and
y is negative.
A)
+ is positive, we know
x is positive, and
y is negative, but we cannot conclude which value is greater. Therefore, this may or may not be true.
B)
− is positive; we know that
mathrmx is positive and
y is negative. So this statement is definitely true.
(C)
=−(−) As
− is positive and y is negative. Therefore, the statement is true.
D)
xy is negative as
x is positive and
y is negative. Therefore, the statement is false.
E)
− is positive only when
y2>x2, but we cannot conclude which value is greater. Therefore, this may or may not be true.Only (B) and (C) are true.
Answer is option B