Hi,
I thought the answer was C) but actually correct one is D) - can anyone explain why?
14. If y + | y | = 0, which of the following must be true?
(A) y > 0
(B) y≥0
(C) y < 0
(D) y≤0
(E) y = 0
ps 500 test21 # 14
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|y| is always positive. To satisfy the inequality, y must be negative.
Another value of y that satisfies the inequality is 0
Also by POE:
(A) y>0....y can be negative
(B) y>=0....y can be negative
(C) y<0....y can be zero
(E) y=0.....y can be negative
Hence A,B,C,E need not be true or must not be true
Therefore D
Another value of y that satisfies the inequality is 0
Also by POE:
(A) y>0....y can be negative
(B) y>=0....y can be negative
(C) y<0....y can be zero
(E) y=0.....y can be negative
Hence A,B,C,E need not be true or must not be true
Therefore D
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when y + | y | = 0, there are only two possiblities
When y itself = 0 ; then the actual and absolute value of y both would be zero and hence their sum would be zero#
Second possibility is that y is a negative number; in such a case the absolute value will become positive and hence the sum would be a resultant zero; Hence the possibility is that y is less than or equal to zero.
Hence D
When y itself = 0 ; then the actual and absolute value of y both would be zero and hence their sum would be zero#
Second possibility is that y is a negative number; in such a case the absolute value will become positive and hence the sum would be a resultant zero; Hence the possibility is that y is less than or equal to zero.
Hence D