Carcass wrote:
If \(S^2 > T^2\) , which of the following must be true?
(A) \(S > T\)
(B) \(S^2 > T\)
(C) \(ST > 0\)
(D) \(|S| > |T|\)
(E) \(ST < 0\)
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Here,
It will be option D, since The square root of a number squared is equal to the absolute value of that number
i.e. \(\sqrt{S^2} = |S|\)
option (A) does not have to be true, if S could be negative while T is positive.
option (B) does not have to be true. because if we consider fraction
Option (C) does not have to be true because S and T could have opposite signs.
OPtion (E) does not have to be true because S and T could have the same sign.
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